What is sqrt(\sqrt{(6x^4y^4)/(24x^2y^6)-1)} ?

The solution to sqrt(\sqrt{(6x^4y^4)/(24x^2y^6)-1)} is \sqrt[4]{(x^2-4y^2)/(4y^2)}

Popular >

simplify sqrt(\sqrt{(6x^4y^4)/(24x^2y^6)-1)}

simplify

\frac{6 x ^{4} y ^{4}}{24 x ^{2} y ^{6}} - 1

Solution steps

\frac{6 x ^{4} y ^{4}}{24 x ^{2} y ^{6}} - 1

Apply radical rule:

a = a^{\frac{1}{2}}

= ((\frac{6 x ^{4} y ^{4}}{24 x ^{2} y ^{6}} - 1)^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (\frac{6 x ^{4} y ^{4}}{24 x ^{2} y ^{6}} - 1)^{\frac{1}{2} \cdot \frac{1}{2}}

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

= (\frac{6 x ^{4} y ^{4}}{24 x ^{2} y ^{6}} - 1)^{\frac{1}{4}}

Cancel

\frac{6 x ^{4} y ^{4}}{24 x ^{2} y ^{6}} : \frac{x ^{2}}{4 y ^{2}}

Join

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

(e^{x yz})^{2}

1 0^{- 3} \cdot 0.5 \cdot 4.184 \cdot ln (\frac{268}{273})

(5.98 \cdot 1 0^{24}) (6.67 \cdot 1 0^{- 11}) (480)

9.3 \cdot 1 0^{- 2}

10 e^{- \frac{4.17 ( 10 )}{( 0.082 ) ^{2} ( 298.15 )}}

What is sqrt(\sqrt{(6x^4y^4)/(24x^2y^6)-1)} ?
The solution to sqrt(\sqrt{(6x^4y^4)/(24x^2y^6)-1)} is \sqrt[4]{(x^2-4y^2)/(4y^2)}