Question

multiply (√7) (-√2)

Answer 1

divide 8√6/2 provide an exact answer

Answer 2

divide 4√10 / √2 provide an exact answer

Answer 3

simplify √300

Answer 4

simplify 13√27

Answer 5

thx bot

Answer 6

To multiply two square roots, you can multiply the values inside the square roots and keep the square root symbol.

The given expression is (√7) (-√2).

Multiplying the values inside the square roots:

(√7) (-√2) = (-√2)(√7)

Now multiply the values:

(-√2)(√7) = -√(2*7) = -√14

Therefore, (√7) (-√2) simplifies to -√14.

Answer 7

To divide 8√6 by 2, you can divide the numbers separately and simplify the square root if possible.

8√6 / 2 = (8/2) * (√6)

Simplifying the expression:

8/2 = 4

So the expression becomes:

4 * (√6)

Therefore, 8√6 / 2 simplifies to 4√6.

Answer 8

To divide 4√10 by √2, you can multiply the numerator and denominator by √2 to rationalize the denominator:

(4√10 / √2) * (√2 / √2) = (4√10 * √2) / (√2 * √2) = (4√20) / 2 = 2√20

Simplifying further, you can simplify the square root:

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

Therefore, 4√10 / √2 simplifies to 4√5.

Answer 9

To simplify √300, you can break down the number into its prime factors and simplify the square root:

√300 = √(2 * 2 * 3 * 5 * 5) = √(2^2 * 3 * 5^2) = 2√(3 * 5^2) = 2 * 5√3 = 10√3

Therefore, √300 simplifies to 10√3.

Answer 10

To simplify √27, you can express it as the square root of a perfect square multiplied by the square root of the remaining factor:

√27 = √(9 * 3) = √9 * √3 = 3 * √3

Now, simplify the expression:

13√27 = 13 * (3 * √3) = 39√3

Therefore, 13√27 simplifies to 39√3.

Answer 11

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