Question

Simplify (root 3 + root 7) 2

Answer 1

(√3+√7)2

→ 2(√3)+2(√7)

→2√3+2√7

If your question is

(√3+√7)²

→ (√3²+√7²+2(√3)(√7))

→ 3+7+2√21

→ 10+2√21

Hope it helps

Answer 2

Given,

• $(\sqrt{3} + \sqrt{7})^2$ is given.

To find,

• We have to simplify the given expression.

Solution,

We can simplify the given expression by using the following identity:

              (a+b)² = a²+b²+2ab    (*)

where a = √3 and b = √7

Using (*), we get

               $(\sqrt{3} + \sqrt{7})^2$ = $(\sqrt{3})^2 +( \sqrt{7})^2 + 2\sqrt{3 }\sqrt{7}$

                                  = $3 + 7 +2\sqrt{21}$

                                  = $10 +2\sqrt{21}$

Hence, the simplification of $(\sqrt{3} + \sqrt{7})^2$gives $10 +2\sqrt{21}$.