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If  a  =  2 + √32 − √3, b  =  2 − √32 + √3  then the value of  a + b  is

Question

If  a  =  2 + √32 − √3, b  =  2 − √32 + √3  then the value of  a + b  is

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Solution

The value of a + b is calculated as follows:

a = 2 + √3√2 - √3 b = 2 - √3√2 + √3

Adding a and b together gives:

a + b = (2 + √3√2 - √3) + (2 - √3√2 + √3)

Simplify the equation by combining like terms:

a + b = 2 + 2 + √3√2 - √3√2 + √3 - √3 a + b = 4

So, the value of a + b is 4.

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