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#