Question

Simplify [tex]3^{\frac{1}{2} } * 3^{\frac{1}{2} }

Answer 1

3

Explanation:

You want to simplify the product (3^(1/2))·(3^(1/2)).

Rules of exponents

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

a^1 = a

Application

Your expression simplifies as follows:

`\displaystyle 3^{(1)/(2)}*3^{(1)/(2)}=3^{(1)/(2)+(1)/(2)}=3^1=\boxed{3}`

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Additional comment

This is a demonstration that 3^(1/2) = √3, the value that gives 3 when it is multiplied by itself.