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Popular >

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

Solution

simplify

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

Solution

2^{\frac{1}{2}} x^{\frac{1}{2}}

Solution steps

2^{\frac{1}{2}} x^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 2^{\frac{1}{2}} x^{\frac{1}{2}}

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Frequently Asked Questions (FAQ)

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