Question

simplify (root5-root2) ^2


Pls ans ​

Answer 1

Answer:

Step-by-step explanation:

Step-by-step explanation:In the question

Step-by-step explanation:In the questionThe given expression is

$\small= (\sqrt{5})^{2}\ +\ 2\times\sqrt{5}\times\sqrt{2}\ +(\sqrt{2})^{2}( </p><p>5</p><p> </p><p> ) </p><p>2</p><p> + 2× </p><p>5</p><p> </p><p> × </p><p>2</p><p> </p><p> +( </p><p>2</p><p> </p><p> ) </p><p>2$

$\small{Since\ we\ know\ that ( a\ +\ b)^{2} = a^{2}\ +\ 2ab\ +\ b^{2}}Since we know that (a + b) </p><p>2</p><p> =a </p><p>2</p><p> + 2ab + b </p><p>2$

$= 5\ +\ 2\sqrt{10}\ +\ 25 + 2 </p><p>10 + 2$

$= 7\ +\ 2\sqrt{10}7 + 2 </p><p>10</p><p> </p><p> (Answer)$