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Popular >

simplify \sqrt[4]{(x+1)^2}

Solution

simplify

Solution

x + 1

Solution steps

Apply radical rule:

= ((x + 1)^{2})^{\frac{1}{4}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (x + 1)^{2 \cdot \frac{1}{4}}

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

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

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

= x + 1

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{(x+1)^2} ?
The solution to \sqrt[4]{(x+1)^2} is sqrt(x+1)