Home > Algebra > Addition and Subtraction of Radicals

How do you simplify #7sqrt(2a^3)-sqrt(8a)#?

Answer 1

Abigail Allen

#sqrt(2a)(7a-2)#

Once you have identified values that can be squared, take them out of the square roots.

Write as:#" "7sqrt(2xxa^2xxa)-sqrt(2^2xx2a)#

#7asqrt(2a)-2sqrt(2a)#

Factor out the #sqrt(2a)# giving:

#sqrt(2a)(7a-2)#

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

Answer 2

Genesis Allen

To simplify the expression 7√(2a^3) - √(8a), we can start by simplifying the square roots individually.

The square root of 2a^3 can be simplified as follows: √(2a^3) = √(2 * a^2 * a) = a√(2a)

Similarly, the square root of 8a can be simplified as follows: √(8a) = √(4 * 2 * a) = 2√(2a)

Now, substituting these simplified square roots back into the original expression, we have: 7√(2a^3) - √(8a) = 7(a√(2a)) - 2√(2a)

Since both terms have a common factor of √(2a), we can factor it out: = √(2a)(7a - 2)

Therefore, the simplified expression is √(2a)(7a - 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.