How do you simplify $sqrt5.26$ ?

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Answer 1 · 2015-04-10T16:09:24

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 $25^2 = 625 > 526$ )

How do you simplify sqrt5.26sqrt5.26?