Simplify (√3+√2) ² 15 points \sqrt{(3 + 2) ^(2) } ​

Question

Simplify (√3+√2) ²
15 points

`\sqrt{(3 + 2) ^(2) }`
​

Answer 1

Explanation:

Given :-

• (√3+√2)²
• √{(3+2)²}

And we need to simplify the given numbers . We can use a identity in 1st Question as ,

`\implies (a+b)^2=a^2+b^2+2ab`

Simplifying first :-

`\implies (\sqrt3+\sqrt2)^2\\\\\implies (\sqrt3)^2+(\sqrt2)^2+2.\sqrt3.\sqrt2 \\\\\implies 3+2+2\sqrt6=\boxed{\red{5+\sqrt6 }}`

Simplifying second :-

`\implies (3+2)^2\\\\\implies 5^2\\\\\implies \boxed{\red{25}}`