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How do you simplify #(15sqrt6)/(3sqrt5)#?

Answer 1

see below

We have,#frac{15sqrt(6)}{3sqrt(2)# expressing 15 as #sqrt(5)xxsqrt(5)xx3xxsqrt(6)# , #frac{sqrt(5)xxsqrt(5)xx sqrt(6)xx3 }{3xxsqrt(5)# cancelling out the common terms,we get,

#sqrt(5)xxsqrt(6)# which is #sqrt(30)#

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Answer 2

Abigail Allen

To simplify (15√6)/(3√5), we can divide the numbers outside the square roots and divide the numbers inside the square roots separately.

Dividing 15 by 3 gives us 5.

Dividing √6 by √5 gives us √(6/5).

Therefore, the simplified form of (15√6)/(3√5) is 5√(6/5).

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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.