Question

Simplified value of (✓5+✓2)² is ............
7+2✓10
5+2✓10
2+5✓10
10+2✓5​

Answer 1

Answer:

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

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

$= 5 + 2 + 2 \sqrt{10}$

$= 7 + 2 \sqrt{10}$