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Popular >

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

Solution

simplify

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

Solution

4 x^{2} (x^{2} + 1)

Solution steps

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

Apply exponent rule:

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

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

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

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

2^{2} = 4

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

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Frequently Asked Questions (FAQ)

What is (2x(x^2+1)^{1/2})^2 ?
The solution to (2x(x^2+1)^{1/2})^2 is 4x^2(x^2+1)