Question

simplify 7 square root of 99

Answer 1

divided 9 square root 33/ 27 square root 11

Answer 2

divide 2 square root 65/ square root of 5

Answer 3

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.

Answer 4

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).

Answer 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.