If \: a = 3 + 2 √(2) .find \: a * (1)/(a) ​

Question

`if \: a = 3 + 2 √(2) .find \: a * (1)/(a)`


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Answer 1

1

Explanation:

Given that,

`a=3+2√(2)`

We need to find the value of
`a* (1)/(a)`.

So,

`=3+2√(2) * (1)/(3+2√(2))\\\\=(3+2√(2))/(3+2√(2))`

As numerator and dinominator is same. It means,

`=(3+2√(2))/(3+2√(2))\\\\=1`

So, the value of the given expression is equal to 1.