Question

Square root of 5 •-4 Square root of 20x

Answer 1

`- 40 √(x)`

Explanation:

We want to simplify:

`√(5) * - 4 √(20x)`

We rewrite the radicand using prime factorization:

`√(5) * - 4 √(4 * 5x)`

This gives us

`√(5) * - 4 √(4) * √(5) * √(x)`

Create perfect squares and simplify:

`(√(5) )^(2) * - 4 √(4) * √(x)`

`5 * - 4(2) √(x)`

`5 * - 8 √(x) = - 40 √(x)`