How do you simplify #sqrt5.26#?

1 Answer
Jim H
Apr 10, 2015

Write #5.26# as a fraction, then simplify the square root of that fraction.

#5.26 = 526/100#, so

#sqrt5.26 = sqrt(526/100)=(sqrt526)/sqrt100=sqrt526/10#

#sqrt 526# cannot be simplified.

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

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