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How do you simplify #2 sqrt 7 + sqrt 14 + 4 sqrt 7#?

Answer 1

# 6sqrt7 + sqrt14 #

#sqrt14 # cannot be simplified as it has no factors which are squares. As in Algebraic expressions where like terms can be collected. The same holds for radicals. We can collect like radicals.in the same way.

# 2sqrt7 color(black)(" and ") 4sqrt7color(black)(" are like ")# and can be collected by adding the 2 and 4.

#sqrt14color(black)(" is on it's own ") #

# rArr 2sqrt7 + sqrt14 +4sqrt7 = 6sqrt7 + sqrt14 #

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Answer 2

Julia Adams

To simplify the expression 2√7 + √14 + 4√7, we can combine like terms.

First, we notice that 2√7 and 4√7 are like terms because they both have the same radical (√7). Adding them together gives us 6√7.

Next, we look at √14. Since there are no other terms with √14, we cannot combine it with anything. Therefore, it remains as √14.

Putting it all together, the simplified expression is 6√7 + √14.

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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.