How do you simplify #sqrt 3 times root3(3)#?

Answer 1

Kennedy Adams

#3^(5/6)#

Given #sqrt 3 * root(3) 3#

#rArr 3^(1/2) * 3^(1/3)#

#rArr 3^(1/2 + 1/3)#

#rArr 3^(5/6)#

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Answer 2

Isaiah Anthony

To simplify sqrt(3) times root3(3), we can multiply the numbers inside the square roots together. This gives us sqrt(3) * sqrt(3 * 3). Simplifying further, we have sqrt(3) * sqrt(9). Since the square root of 9 is 3, the final answer is 3 * sqrt(3), or simply 3sqrt(3).

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Answer 3

Isaiah Anthony

To simplify ( \sqrt{3} \times \sqrt{3 \times 3} ), you can combine the square roots and simplify the expression inside:

[ \sqrt{3} \times \sqrt{3 \times 3} = \sqrt{3} \times \sqrt{9} = \sqrt{3} \times 3 = 3\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.