29
the square root of (1/4) is 1/2
Something to the power of 1/2 is the same as the square root of a number so 25 to the power of a 1/2 = the square root of 25 = 5
I suppose you mean a perfect square. The answer is 25.
1/8
√(1/625) = √(12/252) = 1/25
The square root of -9/25 is 0.6i or -0.6i, where i is the imaginary square root of -1.
In the same way that the square root of 25 can be -5 OR +5, the square root of -1 is -i or +i.
√10/25 = √10/√25 = 1/5 √10 ~= 0.63
It is not clear how far the scope of the square root extends: (√25)/4 = (√(5²))/4 = 5/4 = 1¼ = 1.25 √(25/4) - √(5²/4²) = (√(5²)) / (√(4²)) = 5/2 = 2½ = 2.5 I suspect you meant the latter, as in the "square root of all of 25 over 4".
29
5
the square root of (1/4) is 1/2
Something to the power of 1/2 is the same as the square root of a number so 25 to the power of a 1/2 = the square root of 25 = 5
The square root of 1/100 is 1/10
5*5 = 25 so one square root of 25 is 5 = 5/1 which is rational. The other square root is -5 which, since it is equal to -5/1 is also rational.
Yes. The first is -5, the second is 5i (sqrt 25 x sqrt -1).