You divide the exponent by 2
The square root of a number is that number to the 1/2 power
So for examle square root of x cubed (x^3) is x^3 to the half power =x^3/2
(x to the 3/2 power)
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First note that 84=4x21 and 4 is a perfect square. So square root of (84)=square root (4x21)=Square root (4) Square root (21)= 2 multiplied by the square root of 21. You can also write this using rational exponents, but this is not in radical form. It is an equivalent expression, however. 2 x (21)1/2
The same way as you find the square root with an even-numbered exponent. For example, the square root of x10 is x5. That is, divide the exponent by 2. Similarly, the square root of x7 is x3.5. Once again, you simply calculate one-half of the exponent. If you prefer to express this with integer exponents and square roots, in this example you can write x3.5 as x3x0.5. The second part, x0.5, is equivalent to the square root of "x".
If you square an expression and then take the square root, the squaring and the square root cancel one another, EXCEPT that the sign will be positive. Thus, if you square 16x, and then take the square root, the answer can be 16x or -16x, depending on whether "x" is positive or negative. Or if you only square x, and then take the square root of the entire expression, it would be 4x or -4x (once again, depending on whether "x" is positive or negative).
When multiplying two values of the same base raised to different exponents, all you need to do is add the exponents. Similarly, when dividing them, you can simply subtract the exponents. In the case of roots, the exponents are actually fractions, so you get: x1/2 ÷ x1/3 = x(1/2 - 1/3) = x(3/6 - 2/6) = x1/6
root x=x^(1/2) and 4x =4 x^1 you add the exponents then integrate as usual. The answer you should get is 4.