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How do you multiply # sqrt 2 / sqrt 10#?

Answer 1

Genesis Allen

#1/sqrt5#

Rule is #sqrta/sqrtb=sqrt(a/b)#

#sqrt(2/10)#

#sqrt(1/5)# as #sqrt1=1# answer #1/sqrt5#

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Answer 2

Julia Adams

#1/sqrt5# or #sqrt5/5#

#sqrt10 = sqrt{2*5} = sqrt2sqrt5#

So #sqrt2/sqrt10 = sqrt2/{sqrt2sqrt5} = 1/sqrt5 = 1/sqrt5*sqrt5/sqrt5 = sqrt5/5#

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Answer 3

Eva Adamson

To multiply sqrt 2 / sqrt 10, you can simplify the expression by rationalizing the denominator. Multiply both the numerator and denominator by sqrt 10 to eliminate the square root in the denominator. This gives you (sqrt 2 * sqrt 10) / (sqrt 10 * sqrt 10). Simplifying further, you get sqrt 20 / 10. Since sqrt 20 can be simplified to 2sqrt 5, the final answer is 2sqrt 5 / 10, which can be further simplified to sqrt 5 / 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.