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We are given :
Step 1: factor the part inside square root
The function given inside square root is of quadratic form.
So let us try to factorise it using AC method.
Here A*C = 4*25 = 100
so we have to find factors of 100 that add up to give -20.
the two factors are -10 and -10.
Rewriting the function :
=
=
=
Step 2:
Now we take square root of the factorised form
=
Answer : (2x-5)
4 as the denominator of the fraction is equal to the degree of the root so the answer is the 4th root of x![\sqrt[4]{x}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7Bx%7D%20)