PLZ HELP ALGEBRA 2 WILL GIVE BRAINLIEST 20 POINTS

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08-11-2017
Mathematics

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PLZ HELP ALGEBRA 2 WILL GIVE BRAINLIEST 20 POINTS

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jimthompson5910 jimthompson5910 · Answer 1 · 2017-11-08T04:36:18+01:00

Question 1

It won't be completely simplified, because 8 can be factored further, so I would say the answer is "no"

A much better factorization would be
sqrt(72) = sqrt(36*2)
since 36 is the largest perfect square factor of 72

If you're curious how it simplifies, then it would do so like this
sqrt(72) = sqrt(36*2)
sqrt(72) = sqrt(36)*sqrt(2)
sqrt(72) = 6*sqrt(2)

Note: "sqrt" is shorthand for "square root"

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Question 2

For monomials like this, we simply cut the exponent in half, or we divide by 2.

28/2 = 14

Therefore, sqrt(x^28) = x^14

The given expression simplifies to x^14