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How do you simplify 4 square root 8 - 3 square root 2?

Answer 1

Ethan Adkins

#5sqrt2#

# Convert sqrt8 to sqrt2 # so that you can subtract easily.

#4sqrt8 - 3sqrt2# an be written as:

#4sqrt(4 * 2) - 3sqrt2#

#4sqrt 4 * sqrt 2 - 3sqrt2#

#4*2*sqrt 2 - 3 sqrt 2#

#8sqrt z - 3 sqrt 2#

#5 sqrt 2#

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Answer 2

Eva Adamson

To simplify 4√8 - 3√2, we can first simplify the square roots individually. The square root of 8 can be simplified as 2√2, and the square root of 2 remains the same.

So, the expression becomes 4(2√2) - 3√2.

Next, we can simplify the expression by multiplying the numbers outside the square root by the numbers inside the square root.

This gives us 8√2 - 3√2.

Since both terms have the same square root, which is √2, we can combine them by subtracting the coefficients.

Therefore, the simplified expression is 5√2.

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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.