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Popular >

simplify a^{1/2}*b^{1/2}

Solution

simplify

a^{\frac{1}{2}} \cdot b^{\frac{1}{2}}

Solution

(ab)^{\frac{1}{2}}

Solution steps

a^{\frac{1}{2}} b^{\frac{1}{2}}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

a^{\frac{1}{2}} b^{\frac{1}{2}} = (ab)^{\frac{1}{2}}

= (ab)^{\frac{1}{2}}

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Frequently Asked Questions (FAQ)

What is a^{1/2}*b^{1/2} ?
The solution to a^{1/2}*b^{1/2} is (ab)^{1/2}