1.

Find the square root of the surd 12 + 6√3.1). (3 - √3)2). (3 + 3√3)3). (3 - 3√3)4). (3√3)

Answer»

FORMULA: (a + b)2 = a2 + b2  + 2ab

The given surd is: 12 + 6√3

Let us write the surd as (a + √b)2

Expansion of (a + √b)2 is given as:

(a + √b)2 = a2 + b + 2a√b----------(1)

By comparing 2a√b TERM of this EQUATION with that of the given surd, we get

a = 3 and b = √3

So, we can write the given expression as: (3 + √3)2

Thus the square root of the given surd is: (3 + √3)


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