Question

Please answer this its urgent

Answer 1

$\huge\boxed{\fcolorbox{blue}{orange}{HELLO\:MATE}}$

GIVEN:

$\sqrt{3+\sqrt{5}}$

SOLUTION:

$\sqrt{3+\sqrt{5}}$

On multiplying inside the squreroot by $\dfrac{2}{2}$

=$\sqrt{\dfrac{2(3+\sqrt{5})}{2}}$

=$\sqrt{\dfrac{6+2\sqrt{5}}{2}}$

=$\sqrt{\dfrac{ 5 + 1 +2\sqrt{5}}{2}}$

=$\sqrt{\dfrac{ \sqrt{5}^{2}+1^{2}+2×1×\sqrt{5}}{2}}$

$\large\purple{\boxed{(a+b) ^{2}=a^{2}+b^{2}+2ab}}$

=$\sqrt{\dfrac{(1+\sqrt{5})^{2}}{2}}$

=$\dfrac{(1+\sqrt{5})}{\sqrt{2}}$

=$\dfrac{1}{\sqrt{2}} + \dfrac{\sqrt{5}}{\sqrt{2}}$

$\large\red{\boxed{Answer:\dfrac{1}{\sqrt{2}} + \dfrac{\sqrt{5}}{\sqrt{2}}}}$

Answer 2

Answer:

i hope that helps you.always be happy ☺.