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How do you simplify #( 2 sqrt x) ( 5 sqrt (x ^3) )#?

Answer 1

Julia Adams

Here's an additional solution to this issue.

The answer is #10x^2# .

Simplify #(2sqrt x)(5sqrt (x^3))# .

Assemble words that are similar.

#2*5sqrtxsqrt(x^3)#

Multiply.

#10sqrt(x^4)#

Simplify.

#10x^2#

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Answer 2

Eva Adamson

To simplify (2√x)(5√(x^3)), we can multiply the coefficients (2 and 5) and combine the square roots. This gives us 10√(x * x^3), which simplifies to 10√(x^4). Since the square root of x^4 is x^2, the simplified expression is 10x^2.

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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.