What is 18−−√ simplified?
7 answers
The expression 18−−√ can be simplified by reversing the operation under the square root sign. Taking the square root of 18, we find that the simplified form is √18.
explain bot
Apologies for the confusion caused by my previous response. Let me correct myself and provide a better explanation.
The expression 18−−√ can be simplified using the concept of square roots.
Here's how we can simplify it:
1. Start by recognizing that the expression 18−−√ indicates finding the square root of 18.
2. To simplify the square root, we look for the largest perfect square that divides evenly into 18. In this case, the largest perfect square is 9 (since 3*3=9), and it divides evenly into 18.
3. Rewrite 18 as the product of 9 and 2: 18 = 9*2.
4. Now, rewrite the expression as √(9*2).
5. According to the properties of square roots, we can break this down into the product of the square root of 9 (√9) and the square root of 2 (√2).
6. The square root of 9 is 3, as it represents the number that, when multiplied by itself, gives 9.
7. Therefore, the simplified form of 18−−√ is 3√2.
In summary, 18−−√ simplifies to 3√2.
The expression 18−−√ can be simplified using the concept of square roots.
Here's how we can simplify it:
1. Start by recognizing that the expression 18−−√ indicates finding the square root of 18.
2. To simplify the square root, we look for the largest perfect square that divides evenly into 18. In this case, the largest perfect square is 9 (since 3*3=9), and it divides evenly into 18.
3. Rewrite 18 as the product of 9 and 2: 18 = 9*2.
4. Now, rewrite the expression as √(9*2).
5. According to the properties of square roots, we can break this down into the product of the square root of 9 (√9) and the square root of 2 (√2).
6. The square root of 9 is 3, as it represents the number that, when multiplied by itself, gives 9.
7. Therefore, the simplified form of 18−−√ is 3√2.
In summary, 18−−√ simplifies to 3√2.
What is 125−−−√ simplified?
To simplify the expression 125−−−√, we need to find the cube root of 125.
The cube root is the value that, when multiplied by itself three times, gives the original number. In this case, we are looking for a number that, when multiplied by itself and then multiplied by itself again, equals 125.
The cube root of 125 is 5, as 5 × 5 × 5 = 125.
Therefore, the simplified form of 125−−−√ is 5.
The cube root is the value that, when multiplied by itself three times, gives the original number. In this case, we are looking for a number that, when multiplied by itself and then multiplied by itself again, equals 125.
The cube root of 125 is 5, as 5 × 5 × 5 = 125.
Therefore, the simplified form of 125−−−√ is 5.
explain
Certainly! I apologize for the confusion in my previous response. Let's go through the explanation step by step:
The expression 125−−−√ represents taking the cube root of 125.
To simplify this expression, we need to find the number that, when raised to the power of 3, gives the original number of 125. This is known as the cube root.
To find the cube root of 125:
- Take the prime factorization of 125: 125 = 5 * 5 * 5.
- Group the factors in sets of three: (5 * 5 * 5) = (5^3).
- Therefore, the cube root of 125 is 5, since 5 raised to the power of 3 equals 125.
Hence, the simplified form of 125−−−√ is 5.
Apologies for any confusion caused by the initial incorrect response.
The expression 125−−−√ represents taking the cube root of 125.
To simplify this expression, we need to find the number that, when raised to the power of 3, gives the original number of 125. This is known as the cube root.
To find the cube root of 125:
- Take the prime factorization of 125: 125 = 5 * 5 * 5.
- Group the factors in sets of three: (5 * 5 * 5) = (5^3).
- Therefore, the cube root of 125 is 5, since 5 raised to the power of 3 equals 125.
Hence, the simplified form of 125−−−√ is 5.
Apologies for any confusion caused by the initial incorrect response.