The square root of anything to an even power is that thing to half the power.
√(5x^13) = √(x^12 5x) = √(x^12) √(5x) = x^6 √(5x)
But is that really any simpler?
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The square roots of 13 cannot be simplified.
It can't be simplified because the square root of 13 is an irrational number that can not be expressed as a fraction
sqrt(117) = sqrt(9*13) = sqrt(9)*sqrt(13) = 3*sqrt(13)
As 91 = 7 × 13, √91 doesn't really simplify. It can be changed into: √91 = √(7×13) = √7 √13
-13 or +13 are both square root of 169, but we often use the positive square root, 13, as the principal square root.