Divide 8√6 / 2 . Provide an exact answer.

Answer 1

To divide 8√6 by 2, we can first simplify the expression by dividing the numbers outside the square root separately, then simplify the square root part.

8 / 2 = 4
√6 is not divisible by 2, so we leave it as it is.

Thus, the simplified expression is 4√6.

Answer 2

divide 4√10 / √2 Provide an exact answer.

Answer 3

To divide 4√10 by √2, we can multiply the numerator and denominator by √2 to rationalize the denominator and simplify the expression.

(4√10 * √2) / (√2 * √2)

Simplifying within each part of the expression:

4 * 2 = 8
√10 * √2 = √(10 * 2) = √20 = 2√5

So the expression becomes:

8√5 / 2

Simplifying further:

8 / 2 = 4

Therefore, the exact answer is 4√5.

Answer 4

simplify √300

Answer 5

To simplify √300, we can break down 300 into its prime factors.

300 = 2 * 2 * 3 * 5 * 5

Now, let's simplify the square root by grouping pairs of the same prime factors:

√(2 * 2 * 3 * 5 * 5)
= √(2^2 * 3 * 5^2)
= 2 * 5 * √3
= 10√3

Therefore, √300 simplifies to 10√3.

Answer 6

simplify 13√27

Answer 7

To simplify 13√27, we can break down 27 into its prime factors.

27 = 3 * 3 * 3

Now, let's simplify the square root by grouping pairs of the same prime factors:

13 * √(3 * 3 * 3)
= 13 * √(3^3)
= 13 * 3 * √3
= 39√3

Therefore, 13√27 simplifies to 39√3.