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Popular >

expand sqrt(1+x^2(9x^2+6))

Solution

expand

1 + x^{2} (9 x^{2} + 6)

Solution

3 x^{2} + 1

Solution steps

1 + x^{2} (9 x^{2} + 6)

Expand

1 + x^{2} (9 x^{2} + 6) : 1 + 9 x^{4} + 6 x^{2}

= 1 + 9 x^{4} + 6 x^{2}

Factor

9 x^{4} + 6 x^{2} + 1 : (3 x^{2} + 1)^{2}

= (3 x^{2} + 1)^{2}

Apply radical rule:

assuming

a \geq 0

= 3 x^{2} + 1

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Frequently Asked Questions (FAQ)

What is expand sqrt(1+x^2(9x^2+6)) ?
The solution to expand sqrt(1+x^2(9x^2+6)) is 3x^2+1