Question

the value of (square root 5+square root 2)²​

Answer 1

Answer:

$= 7 + 5\sqrt{10}$

Step-by-step explanation:

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

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

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

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

$\sqrt{m} \sqrt{n} = \sqrt{mn}$

$= 7 +5 \sqrt{2} \sqrt{5}$

$= 7 + 5\sqrt{10}$