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How do you simplify #sqrt 5 ( 6 sqrt 7 - 8 sqrt 4) #?

Answer 1

Ethan Adkins

#6sqrt35-16sqrt5#

#sqrt 5 ( 6 sqrt 7 - 8 sqrt 4)#

Expand,

#6sqrt5sqrt7-8sqrt4sqrt5#

Simplify,

#6sqrt35-16sqrt5#

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Answer 2

Eva Adamson

To simplify the expression sqrt 5 (6 sqrt 7 - 8 sqrt 4), we can use the distributive property.

First, simplify the expression inside the parentheses: 6 sqrt 7 - 8 sqrt 4 = 6 sqrt 7 - 8 * 2 = 6 sqrt 7 - 16

Now, distribute sqrt 5 to each term inside the parentheses: sqrt 5 * 6 sqrt 7 - sqrt 5 * 16 = 6 sqrt (5 * 7) - 16 sqrt 5

Simplify further: 6 sqrt (35) - 16 sqrt 5

This is the simplified form of sqrt 5 (6 sqrt 7 - 8 sqrt 4).

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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.