How do you simplify (3^(1/2))^2?

3 Answers
Mar 19, 2018

It would be just 3 (or 3^1).

Explanation:

The exponent power rule states the (a^n) ^m = a^ (nm)
Applying this rule to (3^(1/2))^2 will get us 3^(1/2 * 2) which is 3^1 or just 1.
To verify this answer, we can actually evaluate the exponent. 3^(1/2) is equal to the square root of three. The square of the square root of 3 is just 3.

Mar 19, 2018

3^1=3

Explanation:

Rules of exponents says
(a^m)^n=a^(mn)

Where
a=3
m=1/2
n=2

So
(3^(1/2))^2=3^((1/2)*2)

(3^(1/2))^2=3^1

3^1=3

Mar 19, 2018

3

Explanation:

3^((1/2)2)

3^(2/2) ->"multiplying the exponents"

3^1

3