How do you simplify 3√20 + 2√45?

Solution:

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

3√20 + 2√45 [Given]

Expanding the given terms, we get

= 3√(2 × 2 × 5) + 2√(3 × 3 × 5)

By further simplification

= 3√(22× 5) + 2 √(32× 5)

Taking the terms out from the square root

= (3 × 2)√5 + (2 × 3)√5

So we get

= 6√5 + 6√5

= 12√5

Therefore, by simplifying 3√20 + 2√45 we get 12√5.

How do you simplify 3√20 + 2√45?

Summary:

By simplifying 3√20 + 2√45, we get 12√5.