Home > Algebra > Square Roots and Irrational Numbers

How do you simplify #sqrt(40)#?

Answer 1

Eli Assouline

To simplify √40, you can factor 40 into its prime factors.

√40 = √(2 * 2 * 2 * 5) = 2√10.

Therefore, the simplified form of √40 is 2√10.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Abigail Allen

See a solution process below:

Rewrite the radical as follows first:

#sqrt(4 * 10)#

Then, to simplify the expression, apply the following rule for radicals:

#sqrt(color(red)(a) * color(blue)(b)) = sqrt(color(red)(a)) * sqrt(color(blue)(b))#

#sqrt(color(red)(4) * color(blue)(10)) =>#

#sqrt(color(red)(4)) * sqrt(color(blue)(10)) =>#

#2sqrt(color(blue)(10))#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.