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How do you simplify #36/sqrt15#?

Answer 1

Julian Avila

#36/sqrt15=(12sqrt15)/5#

#36/sqrt15#

= #36/sqrt15xxsqrt15/sqrt15#

= #(36xxsqrt15)/(sqrt15xxsqrt15)#

= #(36xxsqrt15)/15#

= #(cancel36^12xxsqrt15)/(cancel15^5)#

= #(12sqrt15)/5#

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Answer 2

Noah Archer

#(12sqrt15)/5#

To simplify a fraction with a radical, we want to make sure that there is no radical on the bottom. In order to do this, we can multiply the fraction by #sqrt15/sqrt15#"

#36/sqrt15 * sqrt15/sqrt15 #

# = (36 * sqrt15) / (sqrt15 * sqrt15)#

# = (36sqrt15)/15#

Observing that the top and bottom now share a factor of 3, we have one more step to simplify this expression: dividing the top and bottom by 3.

#(36sqrt15)/15 div 3/3#

# = (36sqrt15 div 3)/(15div3)#

#= (12sqrt15)/5#

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Answer 3

Aurora Arias

To simplify ( \frac{36}{\sqrt{15}} ), rationalize the denominator by multiplying both the numerator and denominator by ( \sqrt{15} ).

( \frac{36}{\sqrt{15}} \times \frac{\sqrt{15}}{\sqrt{15}} = \frac{36\sqrt{15}}{15} = \frac{12\sqrt{15}}{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.