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How do you simplify #root3(72)#?

Answer 1

Levi Adams

#root(3)72=2root(3)9#

To simplify #root(3)72#, first factorize #72#

As #72=2xx2xx2xx3xx3#

#root(3)72=root(3)(ul(2xx2xx2)xx3xx3)#

= #2root(3)(3xx3)#

= #2root(3)9#

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Answer 2

Autumn Arnold

To simplify ( \sqrt{3}(72) ), first, factor out perfect squares from the number under the square root:

[ 72 = 36 \times 2 ]

Then, simplify the square root of 36:

[ \sqrt{36} = 6 ]

Now, rewrite the expression:

[ \sqrt{3}(72) = \sqrt{3}(36 \times 2) = \sqrt{3}(6 \times 6 \times 2) ]

Combine like terms:

[ = 6\sqrt{3} \times 6 \times 2 ]

[ = 72\sqrt{3} ]

So, ( \sqrt{3}(72) ) simplifies to ( 72\sqrt{3} ).

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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.