Question

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

Answer 1

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

Answer 2

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

Answer 3

sorry :
\[\large{c=\sqrt{bd}}\]

Answer 4

@asnaseer ...

Answer 5

me confused too...

Answer 6

yes

Answer 7

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 \(ac\)

Answer 8

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