Home > Algebra > Addition and Subtraction of Radicals

How do you combine #sqrt(128) + sqrt(32)#?

Answer 1

Julia Adams

#12sqrt2#

#sqrt 128=sqrt64xxsqrt2=8xxsqrt2=8sqrt2#

#sqrt32=sqrt16xxsqrt2=4xxsqrt2=4sqrt2#

#sqrt128+sqrt32=8sqrt2+4sqrt2=12sqrt2#

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

Answer 2

Genesis Allen

To combine sqrt(128) + sqrt(32), we can simplify each square root separately and then add the simplified expressions together.

First, let's simplify sqrt(128): sqrt(128) = sqrt(64 * 2) = sqrt(64) * sqrt(2) = 8 * sqrt(2) = 8sqrt(2)

Next, let's simplify sqrt(32): sqrt(32) = sqrt(16 * 2) = sqrt(16) * sqrt(2) = 4 * sqrt(2) = 4sqrt(2)

Now, we can add the simplified expressions together: 8sqrt(2) + 4sqrt(2) = (8 + 4) * sqrt(2) = 12sqrt(2)

Therefore, sqrt(128) + sqrt(32) simplifies to 12sqrt(2).

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.