Question

expand and simplify (√7+√5) square​

Answer 1

Answer:

(√7+√5)² = 12+2√35

Explanation:

We know algebraic identity:

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

Here,

(√7 + √5)²

= (√7)²+(√5)²+2×√7×√5

= 7+5+2√(7×5)

= 12+2√35

••••

Answer 2

Hey there!

Answer:

$12 + 2 \sqrt{35}$

Step-by-step explanation:

$\sf Given,\displaystyle \\\\ (\sqrt{7} + \sqrt{5})^2\\\\ We \ know,\\(a+b)^2 = a^2 + b^2 + 2ab\\(\sqrt{7} + \sqrt{5})^2 = (\sqrt{7})^2 + (\sqrt{5})^2 + 2 \times \sqrt{7} \times \sqrt{5}\\~~~~~~~~~~~~~~~~= 7 + 5 + 2 \sqrt{7 \times 5}\\~~~~~~~~~~~~~~~~=12 + 2 \sqrt{35} \\\\Hope \ It \ Helps \You!$