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Popular >

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

Solution

simplify

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

Solution

x^{2} + 1

Solution steps

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

Factor

x^{4} + 2 x^{2} + 1 : (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(x^4+2x^2+1) ?
The solution to sqrt(x^4+2x^2+1) is x^2+1