How do you find 2 sqrt 325?

1 Answer
Alan P.
Sep 9, 2015

Assuming we are dealing with only the principal square root:
color(white)("XXX")2sqrt(325)=10sqrt(13)
Using a calculator we could further evaluate this as 36.05551

Explanation:

325 = 5xx5xx13

So
color(white)("XXX")sqrt(325) = sqrt(5^2xx13) = sqrt(5^2)*sqrt(13) = 5sqrt(13)
and
color(white)("XXX")2sqrt(325) =2xx5sqrt(13)=10sqrt(13)

The simplest way to find an approximation for the irrational value sqrt(13) is to use a calculator.

If we are not restricted to the principal square root then -10sqrt(13) is another solution.

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