Question

simplify (4+√5)(2+√5)​

Answer 1

$\sf{\left(4+\sqrt{5}\right)\left(2+\sqrt{5}\right)}$

$\sf{=4\cdot \:2+4\sqrt{5}+\sqrt{5}\cdot \:2+\sqrt{5}\sqrt{5}}$

$\sf{=4\cdot \:2+4\sqrt{5}+2\sqrt{5}+\sqrt{5}\sqrt{5}}$

$\sf{=4\cdot \:2+6\sqrt{5}+\sqrt{5}\sqrt{5}}$

$\sf{=8+6\sqrt{5}+\sqrt{5}\sqrt{5}}$

$\sf{=8+6\sqrt{5}+5}$

$\sf{=13+6\sqrt{5}}$

Answer 2

13 + 6√5 is answer.....