Question

if a+b=12,a-b=2√3, find the value of ab is

Answer 1

Answer:

Subtracting both equations.

a + b = 12

(-)a - b = 2root3

2b = 12-2root3

b = 12-2root3/2 = 6-root3

To find a put value of b in

a + b = 12

a + (12-2root3/2) = 12

a = 12-(12-2root3/2)

a = 12-12+2root3/2

a = 24-12+2root3/2

a = 12+2root3/2

a = 6+root3

Now, a × b = (6+root3)(6-root3)

By,(a+b)(a-b)=a²-b²

= 6²-(root3)²

= 36-3 = 33

Step-by-step explanation:

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