Question

simplify (3√5+5√2)^2

Answer 1

We've been asked to simplify:

(3√5 + 5√2)²

We know that:

(a + b)² = a² + 2ab + b²

Here,

a = 3√5 and b = 5√2

On applying (a + b)² = a² + 2ab + b² we get;

(3√5 + 5√2)² = (3√5)² + (2 × 3√5 × 5√2) +  (5√2)²

(3√5 + 5√2)² = (9 × 5)  + (30√10) + (25 × 2)

(3√5 + 5√2)² = 45 + 30√10 + 50

(3√5 + 5√2)² =  95 + 30√10

Therefore the answer is: 95 + 30√10

Answer 2

Answer:

(3+√5+5√2)²

(a+b)²=a²+b²+2ab

so,

(3√5)²+(5√2)²+2x3√5x5√2

9x5+25x2+30√10

45+50+30√10

95+30√10