Question

expand and simplify root 7 + root 5 whole square​

Answer 1

(√7 +√5)²

= [(√7)² + (√5)² + 2(√7)(√5)]

= [ 7+5+2√35]

= 12 + 2√35

Answer 2

Answer: Simplified form is $12+2\sqrt{35}$

Step-by-step explanation:

Since we have given that

$(\sqrt{7}+\sqrt{5})^2$

We need to expand and then simplify:

We will use the identity: $(a+b)^2=a^2+2ab+b^2$

so, here,

$a=\sqrt{7}\\\\b=\sqrt{5}$

So, our expression becomes,

$(\sqrt{7}+\sqrt{5})^2\\\\=(\sqrt{7})^2+(\sqrt{5})^2+2\times \sqrt{7}\times \sqrt{5}\\\\=7+5+2\sqrt{7\times 5}\\\\=12+2\sqrt{35}$

Hence, simplified form is $12+2\sqrt{35}$