How do you simplify $\frac{4 - \sqrt{x}}{x^{\frac{3}{2}}}$ $(4 - sqrt x) / x^(3/2)$ ?

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Answer 1 · 2018-04-22T15:34:00

$\frac{4 \sqrt{x} - | x |}{x^{2}}$ $(4sqrtx-|x|)/x^2$

$\frac{4 - \sqrt{x}}{x^{\frac{3}{2}}} =$ $(4-sqrtx)/x^(3/2)=$

$\frac{4 - \sqrt{x}}{\sqrt{x^{3}}} =$ $(4-sqrtx)/sqrt(x^3)=$

Multiply by $\frac{\sqrt{x}}{\sqrt{x}}$ $sqrtx/sqrtx$

$\frac{4 - \sqrt{x}}{\sqrt{x^{3}}} \cdot \frac{\sqrt{x}}{\sqrt{x}} =$ $(4-sqrtx)/sqrt(x^3)*sqrtx/sqrtx=$

$\frac{4 \sqrt{x} - \sqrt{x^{2}}}{\sqrt{x^{4}}} =$ $(4sqrtx-sqrt(x^2))/sqrt(x^4)=$

$\frac{4 \sqrt{x} - | x |}{x^{2}}$ $(4sqrtx-|x|)/x^2$

How do you simplify (4 - sqrt x) / x^(3/2)4−√xx32(4 - sqrt x) / x^(3/2)?