Look for factors that are perfect squares:
1, 4, 9, 16, 25, etc.
In this case, 16 is a factor (16 x 11 = 176):
so sqrt(176) = sqrt(16)*sqrt(11)
since 4*4 = 16, then sqrt(16)=4, you can simplify to:
4*sqrt(11)
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the 4th root of 49 is the square root of the square root of 49 since square root 49 =7 then simplify is square root of 7
The square root of 75 is ~8.66
4√11
sqrt(30976) = 176
factor the perfect square simplify the perfect root factor out the perfect cube simplify the perfect root √32 = √16 = √8◦2 = 4√2 move 8 out and simplify it to a perfect square