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Popular >

simplify sqrt(1+x^4+2x^2)

Solution

simplify

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

Solution

x^{2} + 1

Solution steps

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

Factor

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

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

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

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

= x^{2} + 1

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Frequently Asked Questions (FAQ)

What is sqrt(1+x^4+2x^2) ?
The solution to sqrt(1+x^4+2x^2) is x^2+1