Question

simplify each in the following expression : (√2+√3)^2​

Answer 1

Answer:

2 + 3 + 2√6

Step-by-step explanation:

(√2 + √3)²

By Identity (a + b)² = a² + b² + 2ab

Now , (√2 + √3)² = √2² + √3² + 2(√2 × √3)

= 2 + 3 + 2√6

Answer 2

Answer:

$(\sqrt{2} + \sqrt{3} )^{2}$

by the formula:

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

ATQ:

$( \sqrt{2} + \sqrt{3} )^{2} = ( { \sqrt{2} } )^{2} + ( \sqrt{3} )^{2} + (2)( \sqrt{2}) ( \sqrt{3} )$

solving:

$= 2 + 3 + 2 \sqrt{6}$

$5 + 2\sqrt{6}$

hope it helps :)