Question

Simplify the given expression: (√5+√2)²

Answer 1

Answer:

$7\ +\ 2\sqrt{10}$

Step-by-step explanation:

In the question

The given expression is $(\sqrt{5}\ +\ \sqrt{2})^{2}}$

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

${Since\ we\ know\ that\ (a\ +\ b)^{2} = a^{2}\ +\ 2ab\ +\ b^{2}}$

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

= $7\ +\ 2\sqrt{10}$ (Answer)

Answer 2

As we know that

$(a+b)^2=a^2+2ab+b^2$

Given: $(\sqrt5+\sqrt2)^2$

$(\sqrt5+\sqrt2)^2={\sqrt5}^2+2\sqrt5\sqrt2+{\sqrt2}^2$

$(\sqrt5+\sqrt2)^2=5+2\sqrt10+2$

$(\sqrt5+\sqrt2)^2=7+2\sqrt10$

#SpJ2