Question

26. The value obtained on simplifying (sqrt(5) + sqrt(6)) ^ 2 (a) 12 + 5sqrt(30) (b) 13+2 sqrt 33 (c) 11 - 2sqrt(30) (d) 11+2 sqrt 30​

Answer 1

Answer:

$\left(\sqrt{5}+\sqrt{6}\right)^2=11+2\sqrt{30}\quad \left(\mathrm{Decimal:\quad }\:21.95445\dots \right)$

Step-by-step explanation:

$\left(\sqrt{5}+\sqrt{6}\right)^2$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2$

$a=\sqrt{5},\:\:b=\sqrt{6}$

$=\left(\sqrt{5}\right)^2+2\sqrt{5}\sqrt{6}+\left(\sqrt{6}\right)^2$

$=11+2\sqrt{30}$