Question

Find the third proportional to : (2+ √3) and (5+4 √3)

plz answer ASAP​

Answer 1

${\huge {\mathfrak {Answer :-}}}$

Let the third proportional be x.

So, we have,

(2 + $\sqrt {3}$) / (5 + 4$\sqrt {3}$) = (5 + 4$\sqrt {3}$) / x

Or, x = (5 + 4$\sqrt {3}$)^2 / (2 + $\sqrt {3}$)

Or, x = (73 + 40$\sqrt {3}$) / (2 + $\sqrt {3}$)

And after that, refer to the attachment ⬆️⬆️

${\red {Answer -}}$ Therefore, the third proportional is (26 + 7$\sqrt {3}$).

$<b>$ That's it..

Hope it helps you..... Di.... (=_=°)$</b>$

Bas.. Ek "thanks" mark kr dena... ^_^

Answer 2

Step-by-step explanation:

answer in attachment

please follow