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How do you simplify #sqrt(3a^7)#?

Answer 1

Distribute the square root and simplify.

We can rewrite the expression as #sqrt(3)sqrt(a^7)#, then we can express the square root as a exponent, so the expression becomes #sqrt(3)(a^7)^(1/2)#, we can now multiply both exponents of a to obtain a single exponent, the expression becomes #sqrt(3)(a^(7/2))#

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Answer 2

Kennedy Adams

See below.

If you have not learned fractional exponents before, then in your case, #3a^7# would be simplified differently.

#sqrt(3 * a * a^3 * a^3)# #a^3 sqrt(3a)#

This would be your answer.

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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.