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Popular >

simplify 7^{1/2}*28^{1/2}

Solution

simplify

7^{\frac{1}{2}} \cdot 2 8^{\frac{1}{2}}

Solution

14

Solution steps

7^{\frac{1}{2}} \cdot 2 8^{\frac{1}{2}}

2 8^{\frac{1}{2}} = 2 \cdot 7^{\frac{1}{2}}

= 7^{\frac{1}{2}} \cdot 2 \cdot 7^{\frac{1}{2}}

Apply exponent rule:

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

7^{\frac{1}{2}} \cdot 7^{\frac{1}{2}} = 7^{\frac{1}{2} + \frac{1}{2}}

= 7^{\frac{1}{2} + \frac{1}{2}} \cdot 2

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

= 7^{1} \cdot 2

Apply exponent rule:

a^{1} = a

7^{1} = 7

= 7 \cdot 2

Multiply the numbers:

7 \cdot 2 = 14

= 14

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Frequently Asked Questions (FAQ)

What is 7^{1/2}*28^{1/2} ?
The solution to 7^{1/2}*28^{1/2} is 14