What is 2sqrt45 expressed in simplest radical form?

1 Answer
Oct 28, 2016

2 sqrt 45=6sqrt 5

Explanation:

Simplify: 2 sqrt 45

Determine the prime factorization of sqrt 45.

sqrt 45=sqrt(5xx9)=sqrt 5sqrt9=sqrt 5xx3xx3

3 is the square root of 9 or 3xx3.

Simplify.

sqrt 45=3sqrt 5

Multiply 2xx3sqrt5

Simplify: 6sqrt 5