√80 = √(4 * 20)
= √4 * √20
= 2 * √20
= 2√20
= 2√(4 * 5)
= 2 * √4 * √5
= 2 * 2 * √5
= 4√5
Go step by step to reduce the radical.
square root of, 80, end square root
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square root of, 4, end square root, dot, square root of, 20, end square root
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11 answers
pls give me the right answer
Apologies for any confusion. Let's go through the simplification process again.
To simplify the radical expression √80:
Step 1: Determine the prime factorization of 80.
80 = 2 * 2 * 2 * 2 * 5
Step 2: Group the prime factors into pairs inside the square root.
√80 = √(2 * 2 * 2 * 2 * 5) = √(2^4 * 5)
Step 3: Bring out any pairs of identical factors as single factors.
√80 = 2 * √(2 * 5) = 2 * √10
So, the simplified form of √80 is 2√10.
Now, let's simplify the expression √4 * √20:
Step 1: Simplify each square root separately.
√4 = 2
√20 = √(4 * 5) = √4 * √5 = 2√5
Step 2: Multiply the simplified square roots.
√4 * √20 = 2 * 2√5 = 4√5
So, the simplified form of √4 * √20 is 4√5.
Lastly, the expression √ (blank) cannot be simplified further without knowing the value of the blank. Therefore, the simplified form of √ ( ) is just √ ( ).
To simplify the radical expression √80:
Step 1: Determine the prime factorization of 80.
80 = 2 * 2 * 2 * 2 * 5
Step 2: Group the prime factors into pairs inside the square root.
√80 = √(2 * 2 * 2 * 2 * 5) = √(2^4 * 5)
Step 3: Bring out any pairs of identical factors as single factors.
√80 = 2 * √(2 * 5) = 2 * √10
So, the simplified form of √80 is 2√10.
Now, let's simplify the expression √4 * √20:
Step 1: Simplify each square root separately.
√4 = 2
√20 = √(4 * 5) = √4 * √5 = 2√5
Step 2: Multiply the simplified square roots.
√4 * √20 = 2 * 2√5 = 4√5
So, the simplified form of √4 * √20 is 4√5.
Lastly, the expression √ (blank) cannot be simplified further without knowing the value of the blank. Therefore, the simplified form of √ ( ) is just √ ( ).
80
square root of, 4, end square root, dot, square root of, 20, end square root
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square root of, 4, end square root, dot, square root of, 20, end square root
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To simplify the expression √80 * √4 * √20, we can simplify each square root separately and then multiply the simplified results.
Step 1: Simplify √80:
√80 = √(2^4 * 5) = 2^2 * √5 = 4√5
Step 2: Simplify √4:
√4 = 2
Step 3: Simplify √20:
√20 = √(2^2 * 5) = 2√5
Step 4: Multiply the simplified square roots:
4√5 * 2 * 2√5 = 8√5 * 2√5 = 16√5^2 = 16 * 5 = 80
So, the simplified form of √80 * √4 * √20 is 80.
For the expression √2 * √20, we can simplify it as follows:
Step 1: Simplify √20:
√20 = √(2^2 * 5) = 2√5
Step 2: Multiply the simplified square roots:
√2 * 2√5 = 2√2 * √5 = 2√2 * √5 = 2√(2*5) = 2√10
So, the simplified form of √2 * √20 is 2√10.
For the expression √x, without any value given for x, we cannot simplify it further. So, the simplified form is just √x.
Step 1: Simplify √80:
√80 = √(2^4 * 5) = 2^2 * √5 = 4√5
Step 2: Simplify √4:
√4 = 2
Step 3: Simplify √20:
√20 = √(2^2 * 5) = 2√5
Step 4: Multiply the simplified square roots:
4√5 * 2 * 2√5 = 8√5 * 2√5 = 16√5^2 = 16 * 5 = 80
So, the simplified form of √80 * √4 * √20 is 80.
For the expression √2 * √20, we can simplify it as follows:
Step 1: Simplify √20:
√20 = √(2^2 * 5) = 2√5
Step 2: Multiply the simplified square roots:
√2 * 2√5 = 2√2 * √5 = 2√2 * √5 = 2√(2*5) = 2√10
So, the simplified form of √2 * √20 is 2√10.
For the expression √x, without any value given for x, we cannot simplify it further. So, the simplified form is just √x.
o step by step to reduce the radical.
square root of, 80, end square root
80
square root of, 4, end square root, dot, square root of, 20, end square root
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2, square root of, 4, end square root, dot, square root of, 5, end square root2
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square root of, 80, end square root
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square root of, 4, end square root, dot, square root of, 20, end square root
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2, square root of, 4, end square root, dot, square root of, 5, end square root2
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To simplify the expression step by step:
Step 1: Simplify the square root of 80:
√80 can be written as √(4 * 20).
Step 2: Simplify each square root separately:
√4 = 2,
√20 = √(4 * 5) = 2√5.
Step 3: Multiply the simplified square roots and combine:
2 * 2√5 = 4√5.
So, the simplified form of √80 is 4√5.
Next, let's simplify the expression √4 * √20:
Step 1: Simplify each square root separately:
√4 = 2,
√20 = √(4 * 5) = 2√5.
Step 2: Multiply the simplified square roots:
2 * 2√5 = 4√5.
So, the simplified form of √4 * √20 is 4√5.
Lastly, for the expression √x, if there is no specific value given for x, it cannot be simplified further. So, the simplified form remains √x.
Step 1: Simplify the square root of 80:
√80 can be written as √(4 * 20).
Step 2: Simplify each square root separately:
√4 = 2,
√20 = √(4 * 5) = 2√5.
Step 3: Multiply the simplified square roots and combine:
2 * 2√5 = 4√5.
So, the simplified form of √80 is 4√5.
Next, let's simplify the expression √4 * √20:
Step 1: Simplify each square root separately:
√4 = 2,
√20 = √(4 * 5) = 2√5.
Step 2: Multiply the simplified square roots:
2 * 2√5 = 4√5.
So, the simplified form of √4 * √20 is 4√5.
Lastly, for the expression √x, if there is no specific value given for x, it cannot be simplified further. So, the simplified form remains √x.
pls try again and give me the correct answer
Apologies for the confusion. Let's go through the simplification process again:
To simplify the expression step by step:
Step 1: Simplify the square root of 80:
√80 can be written as √(4 * 20).
Step 2: Simplify each square root separately:
√4 = 2,
√20 = √(4 * 5) = 2√5.
Step 3: Multiply the simplified square roots and combine:
2 * 2√5 = 4√5.
So, the simplified form of √80 is 4√5.
Next, let's simplify the expression √4 * √20:
Step 1: Simplify each square root separately:
√4 = 2,
√20 = √(4 * 5) = 2√5.
Step 2: Multiply the simplified square roots:
2 * 2√5 = 4√5.
So, the simplified form of √4 * √20 is 4√5.
Lastly, for the expression √x, if there is no specific value given for x, it cannot be simplified further. So, the simplified form remains √x.
Therefore, the simplified form of the expressions provided is 4√5.
To simplify the expression step by step:
Step 1: Simplify the square root of 80:
√80 can be written as √(4 * 20).
Step 2: Simplify each square root separately:
√4 = 2,
√20 = √(4 * 5) = 2√5.
Step 3: Multiply the simplified square roots and combine:
2 * 2√5 = 4√5.
So, the simplified form of √80 is 4√5.
Next, let's simplify the expression √4 * √20:
Step 1: Simplify each square root separately:
√4 = 2,
√20 = √(4 * 5) = 2√5.
Step 2: Multiply the simplified square roots:
2 * 2√5 = 4√5.
So, the simplified form of √4 * √20 is 4√5.
Lastly, for the expression √x, if there is no specific value given for x, it cannot be simplified further. So, the simplified form remains √x.
Therefore, the simplified form of the expressions provided is 4√5.
2 * _____ √ _____
To fill in the blanks, let's simplify the expressions:
2 * _____ √ _____
Let's consider the square root (√) expression separately.
We have the expression √ _____ .
Since there is no specific value given for the "blank" inside the square root, we cannot simplify it further. Hence, the blank remains as is:
√ _____
Now, let's come back to the multiplication expression:
2 * _____
The blank represents the value of the square root expression, which is √ _____ .
We can rewrite the expression as:
2 * √ _____
Combining both parts, the final simplified expression is:
2 * √ _____
So, the simplified form is 2 * √_____ or 2√_____ , where the "blank" represents the value inside the square root.
2 * _____ √ _____
Let's consider the square root (√) expression separately.
We have the expression √ _____ .
Since there is no specific value given for the "blank" inside the square root, we cannot simplify it further. Hence, the blank remains as is:
√ _____
Now, let's come back to the multiplication expression:
2 * _____
The blank represents the value of the square root expression, which is √ _____ .
We can rewrite the expression as:
2 * √ _____
Combining both parts, the final simplified expression is:
2 * √ _____
So, the simplified form is 2 * √_____ or 2√_____ , where the "blank" represents the value inside the square root.
3 answers