Simplify √24 - 3√45 + 2√20?

Solution:

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

√24 -3√45 + 2√20 [Given]

Using prime factorization, we get

= √(2 × 2 × 6) + 3√(3 × 3 × 5) + 2√(2 × 2 × 5)

By further calculation

= √(2² × 6) + 3√(3² × 5) + 2√(2² × 5) 

Taking the terms out of square root

= 2√6 +9√5 + 4√5

= 2√6 +√5 (9+ 4)

So we get

= 2√6 + 13√5

Therefore, by simplifying √24 -3√45 + 2√20 we get 2√6 + 13√5

Simplify √24 - 3√45 + 2√20?

Summary:

By simplifying √24 - 3√45 + 2√20, we get 2√6 + 13√5.