Question

simplify that (√3+√2)²

Answer 1

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(√3+√2)²

using the identity

(a+b)² = a²+b²+2ab

Here,

a=√3

b=√2

So,

(√3)² + (√2)² + 2 (√3×√2)

=3 + 2 + 2 (√6)

=3 + 2 + 2√6

Answer:- 5+2√6

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Answer 2

The simplification of $(\sqrt{3}+\sqrt{2})^{2}$ is $5 + 2\sqrt{6}$.

Identity, by which the above equation can be simplified is,

$(a+b)^{2}=a^{2}+b^{2}+2 a b$

Compare the given equation with the identity, we get the following values of 'a' and 'b'.

$\begin{aligned}&a=\sqrt{3} \\&b=\sqrt{2}\end{aligned}$

Simplifying the above relation,

$(\sqrt{3})^{2}+(\sqrt{2})^{2}+2(\sqrt{3} \times \sqrt{2})$

$=3+2+2(\sqrt{6})$

$= 5 + 2\sqrt{6}$

Hence, the evaluation of the given equation is $= 5 + 2\sqrt{6}$.

To know more about algebraic identities, here

https://brainly.in/question/44822?msp_poc_exp=2

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