similar one but confused:
$$\large{\frac{a}{b}=\frac{b}{c}=\frac{c}{d}}$$
prove that:
$\large{\frac{a}{d}=}$
$\large{\sqrt{\frac{a^5+b^2c^2+a^3c^2}{b^4c+d^4+b^2cd^2}}}$

Question

similar one but confused:
$$\large{\frac{a}{b}=\frac{b}{c}=\frac{c}{d}}$$
prove that: 
$\large{\frac{a}{d}=}$
$\large{\sqrt{\frac{a^5+b^2c^2+a^3c^2}{b^4c+d^4+b^2cd^2}}}$

mathslover · Answer

$$\large{\sqrt{\frac{a^5+b^2c^2+a^3c^2}{b^4c+d^4+b^2cd^2}}=\frac{a}{d}}$$

mathslover · Answer

tried to put b = $\large{\sqrt{ac}}$ and c=$\large{\sqrt{ad}}$

mathslover · Answer

sorry : 
$$\large{c=\sqrt{bd}}$$

mathslover · Answer

@asnaseer ...

anonymous · Answer

me confused too...

mathslover · Answer

yes

anonymous · Answer

maybe there is a easier way but u can factor out  $a^2$  in num and $d^2$ in denum Under the radical .... then firstly replace $d^2$'s with $b^2c^2/a^2$ and then replace all $b^2$'s with $ac$

anonymous · Answer

wait...there is an easier way...

anonymous · Answer

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