Use radical notation to rewrite the expression. Simplify, if possible?

Question

144^(1/2)

Answer 1

Remember that whenever you have a fraction as an exponent, it converts into a radical this way:

x^(m/n) translates to: take the m-th root, and bring it to the power of n.

Example: 2^(3/2)

First, we take the 2nd root, (or square root)

sqrt(2^?)

... and then bring it to the power of 3

sqrt(2^3)

Another example: 32^(1/5)

Take the 5th root, and bring it to the power of 1. Therefore

(5th root of) (32^1)

Same concept here. 144^(1/2)

Take the square root, and bring it to the power of 1.

sqrt (144^1) = sqrt(144)

Note that the square root of 144 is 12, so that's what it simplifies to.

Hope that helps.

Answer 2

radical 144
+/- 12

Answer 3

x^(1/2) = sqrt(x) Then simplify, hint 12*12 = ????