Simplify √20 + √45 - √5? 

Solution:

The process of writing a number as the product of prime numbers is prime factorization.

√20 +√45-√5 [Given]

Using prime factorization, we get

= √(2 × 2 × 5) + √(3 × 3 × 5) + √5

By further simplification

= √(2² × 5) + √(3² × 5) + √5

Taking the terms out of the square root

= 2√5 +3√5 + √5

=√5(2+3+1)

So we get 

= 6√5

Therefore, by simplifying √20 +√45-√5 we get 6√5.

Simplify √20 + √45 - √5?

Summary:

By simplifying √20 + √45 - √5, we get 6√5.