What is (sqrt(x^8+x^4))/(2x) ?

The solution to (sqrt(x^8+x^4))/(2x) is (xsqrt(x^4+1))/2

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simplify (sqrt(x^8+x^4))/(2x)

simplify

\frac{x ^{8} + x ^{4}}{2 x}

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

Solution steps

\frac{x ^{8} + x ^{4}}{2 x}

Simplify

x^{8} + x^{4} : x^{2} x^{4} + 1

= \frac{x ^{2} x ^{4} + 1}{2 x}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = xx

= \frac{xx x ^{4} + 1}{2 x}

Cancel the common factor:

x

= \frac{x x ^{4} + 1}{2}

(- 1)^{34}

(6 x^{2} - 3 x + 10) - (- 6 x^{2} + 11 x + 9)

\frac{x ^{6} - 1}{x ^{4} - 1}

(- x^{4})^{5}

(x^{2} + 10 x) - (- 4 x^{2} - x + 10)

What is (sqrt(x^8+x^4))/(2x) ?
The solution to (sqrt(x^8+x^4))/(2x) is (xsqrt(x^4+1))/2