What is (sqrt(x^2+y^2))/(sqrt(x^2+y^2+z^2)) ?

The solution to (sqrt(x^2+y^2))/(sqrt(x^2+y^2+z^2)) is sqrt((x^2+y^2)/(x^2+y^2+z^2))

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simplify (sqrt(x^2+y^2))/(sqrt(x^2+y^2+z^2))

simplify

\frac{x ^{2} + y ^{2}}{x ^{2} + y ^{2} + z ^{2}}

\frac{x ^{2} + y ^{2}}{x ^{2} + y ^{2} + z ^{2}}

Solution steps

\frac{x ^{2} + y ^{2}}{x ^{2} + y ^{2} + z ^{2}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}

\frac{x ^{2} + y ^{2}}{x ^{2} + y ^{2} + z ^{2}} = \frac{x ^{2} + y ^{2}}{x ^{2} + y ^{2} + z ^{2}}

= \frac{x ^{2} + y ^{2}}{x ^{2} + y ^{2} + z ^{2}}

\frac{3}{2 3} \cdot \frac{3}{3}

e^{- (\frac{x}{2})^{2}}

3 \cdot \frac{1}{4} \cdot e^{- 4 \cdot \frac{1}{4}}

What is (sqrt(x^2+y^2))/(sqrt(x^2+y^2+z^2)) ?
The solution to (sqrt(x^2+y^2))/(sqrt(x^2+y^2+z^2)) is sqrt((x^2+y^2)/(x^2+y^2+z^2))