Question

value of (√5+√2)² is​

Answer 1

$\large\bigstar\purple{\rm{\bf Answer}}$

$\leadsto \bf ( \sqrt{5} + \sqrt{2} ) ^{2}$

we know that:-

• $\underline{ \boxed {\sf {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab }}$

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

$\leadsto \bf 5 + 2 + 2 \sqrt{10} = \red{7 + 2 \sqrt{10} }$

Answer 2

Answer:

(a+b)²=a²+b²=2ab

Therefore,

(√5+2√)²=(√5)²(√2)²+2(√5)(√2)

=>5+2+2(√10)

=>7+2√10.