Math, asked by mooonaaaaaaa, 6 hours ago

(root 5 +root2)²
pls solve it with explanation
it's urgent ​

Answers

Answered by amani1132007
1

Answer:

( √5 + √2 )²

BY USING ( a + b )^2 = a^2 + b^2 + 2ab

( √5 + √2 )²

⇒ ( √ 5 )² + ( √ 2 )² + 2( √5 × √ 2 )

⇒ 5 + 2 + 2√( 5 × 2 )

⇒ 5 + 2 + 2√10

⇒ 7 + 2√10

Answered by Salmonpanna2022
1

Step-by-step explanation:

Given:- (√5+√2)²

To do:- Simplify the expression using the property of radicals.

Solution:

Let's solve the problem

we have,

(√5+√2)²

This is in the form of (a+b)² = a²+2ab+b²

where a = √5 and b = √2

Now, we get

=> (√5)² + 2(√5)(√2) + (√2)²

=> 5 + 2√10 + 2

=> 7 + 2√10 Ans.

Used formulae:-

  • (a+b)² = a²+2ab+b²

:)

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