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How do you simplify #4sqrt6+sqrt7-6sqrt2+4sqrt7#?

Answer 1

Eva Abramson

#2sqrt2(2sqrt3-3)+5sqrt7#

#4sqrt6+sqrt7-6sqrt2+4sqrt7#

#:.=4sqrt3sqrt2+5sqrt7-6sqrt2#

#:.=4sqrt3sqrt2-6sqrt2+5sqrt7#

#:.=2sqrt2(2sqrt3-3)+5sqrt7#

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Answer 2

Genesis Allen

To simplify the expression 4√6 + √7 - 6√2 + 4√7, we can combine like terms.

The terms with the same radical can be combined together.

So, 4√6 + √7 - 6√2 + 4√7 simplifies to (4√6 + 4√7) + (√7 - 6√2).

Combining the terms with √6 and √7, we get 4√6 + 4√7.

Combining the terms with √7 and √2, we get √7 - 6√2.

Therefore, the simplified expression is 4√6 + 4√7 + √7 - 6√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.