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Popular >

simplify 2^{1/2}*32^{1/2}

Solution

simplify

2^{\frac{1}{2}} \cdot 3 2^{\frac{1}{2}}

Solution

8

Solution steps

2^{\frac{1}{2}} \cdot 3 2^{\frac{1}{2}}

3 2^{\frac{1}{2}} = 4 \cdot 2^{\frac{1}{2}}

= 2^{\frac{1}{2}} \cdot 4 \cdot 2^{\frac{1}{2}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2^{\frac{1}{2}} \cdot 2^{\frac{1}{2}} = 2^{\frac{1}{2} + \frac{1}{2}}

= 2^{\frac{1}{2} + \frac{1}{2}} \cdot 4

\frac{1}{2} + \frac{1}{2} = 1

= 2^{1} \cdot 4

Apply exponent rule:

a^{1} = a

2^{1} = 2

= 2 \cdot 4

Multiply the numbers:

2 \cdot 4 = 8

= 8

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Frequently Asked Questions (FAQ)

What is 2^{1/2}*32^{1/2} ?
The solution to 2^{1/2}*32^{1/2} is 8