What is sqrt((x^2+y^2)/(4-x^2-y^2)+1) ?

The solution to sqrt((x^2+y^2)/(4-x^2-y^2)+1) is (2sqrt(4-x^2-y^2))/(4-x^2-y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt((x^2+y^2)/(4-x^2-y^2)+1)

simplify

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

\frac{2 4 - x ^{2} - y ^{2}}{4 - x ^{2} - y ^{2}}

Solution steps

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

Join

\frac{x ^{2} + y ^{2}}{4 - x ^{2} - y ^{2}} + 1 : \frac{4}{4 - x ^{2} - y ^{2}}

= \frac{4}{4 - x ^{2} - y ^{2}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

= \frac{4}{4 - x ^{2} - y ^{2}}

4 = 2

= \frac{2}{4 - x ^{2} - y ^{2}}

Rationalize

\frac{2}{4 - x ^{2} - y ^{2}} : \frac{2 4 - x ^{2} - y ^{2}}{4 - x ^{2} - y ^{2}}

= \frac{2 4 - x ^{2} - y ^{2}}{4 - x ^{2} - y ^{2}}

\frac{3}{5} + \frac{2}{6}

\frac{17}{4}

\frac{9}{4} - \frac{2}{3}

\frac{1}{4} \div \frac{3}{8}

\frac{( 16 p ^{3} - 24 p ^{2} + 8 p )}{8 p}

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