Fraction decomposition
[src]
$$\sqrt{\frac{x^{2}}{4} + \frac{4 y^{2}}{x^{2}}}$$
___________
/ 2 2
/ x 4*y
/ -- + ----
/ 4 2
\/ x
General simplification
[src]
____________
/ 4 2
/ x + 16*y
/ ----------
/ 2
\/ x
------------------
2
$$\frac{\sqrt{\frac{x^{4} + 16 y^{2}}{x^{2}}}}{2}$$
sqrt((x^4 + 16*y^2)/x^2)/2
0.5*((x^4 + 16.0*y^2)/x^2)^0.5
0.5*((x^4 + 16.0*y^2)/x^2)^0.5
___________
/ 4
/ 2 x
/ 4*y + --
/ 4
/ ---------
/ 2
\/ x
$$\sqrt{\frac{\frac{x^{4}}{4} + 4 y^{2}}{x^{2}}}$$
____________
/ 4 2
/ x + 16*y
/ ----------
/ 2
\/ x
------------------
2
$$\frac{\sqrt{\frac{x^{4} + 16 y^{2}}{x^{2}}}}{2}$$
sqrt((x^4 + 16*y^2)/x^2)/2
Rational denominator
[src]
____________
/ 4 2
/ x + 16*y
/ ----------
/ 2
\/ x
------------------
2
$$\frac{\sqrt{\frac{x^{4} + 16 y^{2}}{x^{2}}}}{2}$$
sqrt((x^4 + 16*y^2)/x^2)/2
Assemble expression
[src]
____________
/ 4 2
/ x + 16*y
/ ----------
/ 2
\/ x
------------------
2
$$\frac{\sqrt{\frac{x^{4} + 16 y^{2}}{x^{2}}}}{2}$$
sqrt((x^4 + 16*y^2)/x^2)/2
____________
/ 4 2
/ x + 16*y
/ ----------
/ 2
\/ x
------------------
2
$$\frac{\sqrt{\frac{x^{4} + 16 y^{2}}{x^{2}}}}{2}$$
sqrt((x^4 + 16*y^2)/x^2)/2
____________
/ 2
/ 2 16*y
/ x + -----
/ 2
\/ x
------------------
2
$$\frac{\sqrt{x^{2} + \frac{16 y^{2}}{x^{2}}}}{2}$$
____________
/ 4 2
/ x + 16*y
/ ----------
/ 2
\/ x
------------------
2
$$\frac{\sqrt{\frac{x^{4} + 16 y^{2}}{x^{2}}}}{2}$$
sqrt((x^4 + 16*y^2)/x^2)/2
Combining rational expressions
[src]
____________
/ 4 2
/ x + 16*y
/ ----------
/ 2
\/ x
------------------
2
$$\frac{\sqrt{\frac{x^{4} + 16 y^{2}}{x^{2}}}}{2}$$
sqrt((x^4 + 16*y^2)/x^2)/2
____________
/ 2
/ 2 16*y
/ x + -----
/ 2
\/ x
------------------
2
$$\frac{\sqrt{x^{2} + \frac{16 y^{2}}{x^{2}}}}{2}$$