What is sqrt((8^{10)+4^{10})/(8^4+4^{11)}} ?

The solution to sqrt((8^{10)+4^{10})/(8^4+4^{11)}} is (sqrt(41)sqrt(8^{10)+1048576})/(13120)

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simplify sqrt((8^{10)+4^{10})/(8^4+4^{11)}}

simplify

\frac{8 ^{10} + 4 ^{10}}{8 ^{4} + 4 ^{11}}

\frac{41 8 ^{10} + 1048576}{13120}

Decimal Notation

16

Solution steps

\frac{8 ^{10} + 4 ^{10}}{8 ^{4} + 4 ^{11}}

\frac{8 ^{10} + 4 ^{10}}{8 ^{4} + 4 ^{11}} = \frac{8 ^{10} + 1048576}{4198400}

= \frac{8 ^{10} + 1048576}{4198400}

Apply radical rule:

assuming

a \geq 0, b \geq 0

= \frac{8 ^{10} + 1048576}{4198400}

4198400 = 32041

= \frac{8 ^{10} + 1048576}{320 41}

Rationalize

\frac{8 ^{10} + 1048576}{320 41} : \frac{41 8 ^{10} + 1048576}{13120}

= \frac{41 8 ^{10} + 1048576}{13120}

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What is sqrt((8^{10)+4^{10})/(8^4+4^{11)}} ?
The solution to sqrt((8^{10)+4^{10})/(8^4+4^{11)}} is (sqrt(41)sqrt(8^{10)+1048576})/(13120)