Question

simplify : (3+2√5) (3+2√5)​

Answer 1

Answer:

29+12√5

Step-by-step explanation:

(3+2√5)*(3+2√5)

= (3+2√5)^2

applying the identity of

(a+b)^2

(3)^2 + (2√5)^2 + 2*3*2√5

9 + 2*2*√5*√5 + 12√5

9+20+12√5

29+12√5

Answer 2

To simplify :

• (3 + 2√5)(3 + 2√5)

Solution :

Identity :

• (a + b)(a + b) = a² + 2ab + b²

　 (3 + 2√5)(3 + 2√5)

➠ (3)² + 2(3)(2√5) + (2√5)²

➠ 9 + 2(6√5) + (2√5 × 2√5)

➠ 9 + 12√5 + 20

➠ 29 + 12√5

∴ Required answer :

• (3 + 2√5)(3 + 2√5) = 29 + 12√5