Question

> Simplify: (√5+√2)2​

Answer 1

Answer:

We need to apply the formula (a + b)2

= a2 +2ab + b2 to find value of (√5 + √2)2 (√5 + √2)2

= (√5)2 + 2 x √5 x √2 + (√2)2

= 5 + 2√10 + 2

= 7 + 2√10

Therefore, on simplifying (√5 √2)2, we get 7+2√0.

Step-by-step explanation:

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Answer 2

Correct Question :-

Simplify :- (√5+√2)²

Answer :-

(√5+√2)² = 7 + 2√10.

Explanation :-

We will use Identity :-

(a + b)² = a² + b² + 2ab.

➠ (√5+√2)²

➠ (√5)² + (√2)² + 2(√5)(√2)

➠ 5 + 2 + 2√10.

➠ 7 + 2√10.

Therefore, (√5+√2)² = 7 + 2√10.

Some Identities :-

• (a + b)² = a² + b² + 2ab.

• (a - b)² = a² + b² - 2ab.

• (a)² - (b)² = (a + b)(a - b).