Question

What is the following difference?

Answer 1

ANSWER

$29 \sqrt{5}$

EXPLANATION

The given radical expression is

$11 \sqrt{45} - 4 \sqrt{5}$

We remove the perfect squares to get:

$11 \sqrt{9 \times 5} - 4 \sqrt{5}$

Split the square root sign to obtain:

$11 \sqrt{9} \times \sqrt{5} - 4 \sqrt{5}$

We simplify further to get:

$11 \times 3 \sqrt{5} - 4 \sqrt{5}$

$33 \sqrt{5} - 4 \sqrt{5}$

This simplifies to

$29 \sqrt{5}$

Answer 2

Answer:

29 square root 5.

Step-by-step explanation:

You must simplify the surds to subtract them.