Question
simplify 7 square root of 99
Answers
GPT 3.5
To simplify the expression 7√99, we can rewrite 99 as the product of its largest perfect square factor and the remaining factor:
99 = 9 * 11
Now, we can rewrite the expression as:
7√(9 * 11)
Since the square root of 9 is 3, we can simplify further:
7 * 3√11
Therefore, 7√99 simplifies to 21√11.
99 = 9 * 11
Now, we can rewrite the expression as:
7√(9 * 11)
Since the square root of 9 is 3, we can simplify further:
7 * 3√11
Therefore, 7√99 simplifies to 21√11.
divided 9 square root 33/ 27 square root 11
GPT 3.5
To divide 9√33 by 27√11, we can simplify both radicals separately and then divide.
First, let's simplify 9√33:
9√33 = 3√33 * 3
Next, let's simplify 27√11:
27√11 = 3√11 * 3 * 3
Now, we can divide the simplified radicals:
(3√33 * 3) / (3√11 * 3 * 3)
The 3's cancel out:
(1√33) / (1√11 * 3)
Finally, we can simplify further:
√33 / (√11 * 3)
Therefore, the division of 9√33 by 27√11 simplifies to √33 / (√11 * 3).
First, let's simplify 9√33:
9√33 = 3√33 * 3
Next, let's simplify 27√11:
27√11 = 3√11 * 3 * 3
Now, we can divide the simplified radicals:
(3√33 * 3) / (3√11 * 3 * 3)
The 3's cancel out:
(1√33) / (1√11 * 3)
Finally, we can simplify further:
√33 / (√11 * 3)
Therefore, the division of 9√33 by 27√11 simplifies to √33 / (√11 * 3).
divide 2 square root 65/ square root of 5
GPT 3.5
To divide 2√65 by √5, we can simplify both radicals and then divide.
First, let's simplify 2√65:
2√65 = 2√(5 × 13) = 2√5√13
Now, let's divide by √5:
(2√5√13) / √5
Since both terms have a √5 in the denominator, we can cancel it out:
2√13
Therefore, the division of 2√65 by √5 simplifies to 2√13.
First, let's simplify 2√65:
2√65 = 2√(5 × 13) = 2√5√13
Now, let's divide by √5:
(2√5√13) / √5
Since both terms have a √5 in the denominator, we can cancel it out:
2√13
Therefore, the division of 2√65 by √5 simplifies to 2√13.