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Popular >

simplify sqrt(4x^4+36x^2+81)

Solution

simplify

4 x^{4} + 36 x^{2} + 81

Solution

2 x^{2} + 9

Solution steps

4 x^{4} + 36 x^{2} + 81

Factor

4 x^{4} + 36 x^{2} + 81 : (2 x^{2} + 9)^{2}

= (2 x^{2} + 9)^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

(2 x^{2} + 9)^{2} = 2 x^{2} + 9

= 2 x^{2} + 9

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Frequently Asked Questions (FAQ)

What is sqrt(4x^4+36x^2+81) ?
The solution to sqrt(4x^4+36x^2+81) is 2x^2+9