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Popular >

simplify sqrt(a^4+16a^2+64)

Solution

simplify

a^{4} + 16 a^{2} + 64

Solution

a^{2} + 8

Solution steps

a^{4} + 16 a^{2} + 64

Factor

a^{4} + 16 a^{2} + 64 : (a^{2} + 8)^{2}

= (a^{2} + 8)^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

(a^{2} + 8)^{2} = a^{2} + 8

= a^{2} + 8

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Frequently Asked Questions (FAQ)

What is sqrt(a^4+16a^2+64) ?
The solution to sqrt(a^4+16a^2+64) is a^2+8