What is (square root of 3) to the power of 2?

1 Answer
Sep 9, 2015

Answer:

#(sqrt(3))^2 = 3#

Explanation:

Some Rules Concerning Exponents That Are Relevant To This Question:

#color(white)("XXX")(b^m)^n = b^(mx)#

#color(white)("XXX")sqrt(b) = b^(1/2)#

Therefore #sqrt(3) = 3^(1/2)#
and
#(sqrt(3))^2 = (3^(1/2))^2 = 3^(1/2xx2) = 3^1 = 3#