Question

Simplify square root of five times the quantity eight plus three square root of six.

Answer 1

The expression of the square root multiplication is: 8√5 + 3√30

How to multiply the square root of numbers?

We want to simplify the square root of five times the quantity eight plus three square root of six.

This can be expressed as:

√5(8 + 3√6)

First, multiply out the bracket to get:

8√5 + 3(√5 * √6)

= 8√5 + 3√30

Answer 2

Answer: 10√2 + 3√6

Explanation:

✓Very trick question, but the sentence itself must be clearly understood

✓Tne square root of 5 times the quantity of 8 means that it's 5 multiplied by the quantity 8

✓ That is, 5 × √8

5√8 + 3√6

(Note that √8 can be simplified to √4 × √2

5× √2 × √4 + 3 × √2 × √ 3

=10√2 + 3√6