Question

What is the following difference?

Answer 1

29 square root 5.

Explanation:

You must simplify the surds to subtract them.

Answer 2

`29 √(5)`

EXPLANATION

The given radical expression is

`11 √(45) - 4 √(5)`

We remove the perfect squares to get:

`11 √(9 * 5) - 4 √(5)`

Split the square root sign to obtain:

`11 √(9) * √(5) - 4 √(5)`

We simplify further to get:

`11 * 3 √(5) - 4 √(5)`

`33 √(5) - 4 √(5)`

This simplifies to

`29 √(5)`