How do you simplify sqrt5.26√5.26?

1 Answer
Jim H
Apr 10, 2015

Write 5.265.26 as a fraction, then simplify the square root of that fraction.

5.26 = 526/1005.26=526100, so

sqrt5.26 = sqrt(526/100)=(sqrt526)/sqrt100=sqrt526/10√5.26=√526100=√526√100=√52610

sqrt 526√526 cannot be simplified.

(526 = 2*263526=2⋅263 and is not divisible by perfect squares: 4, 9, 16, 25, and that's enough to check, because 25^2 = 625 > 526252=625>526)

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