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Popular >

expand (1+x)^{1/2}(1+x)^{1/2}

Solution

expand

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

Solution

1 + x

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

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

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

Multiply

2 \cdot \frac{1}{2} : 1

= (1 + x)^{1}

Apply rule

a^{1} = a

= 1 + x

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Frequently Asked Questions (FAQ)

What is expand (1+x)^{1/2}(1+x)^{1/2} ?
The solution to expand (1+x)^{1/2}(1+x)^{1/2} is 1+x