Question

$( \sqrt{3 } + \sqrt{2} ) {}^{2}$
is a rational or not . explain pl​

Answer 1

Answer:

Rational number

Step-by-step explanation:

First we have to find the expanded form of (3 + 2√2)(3-2√2).

Here the result is 1, which is a rational number, isn't it?

1 can be written as a fraction, means in p/ q form, as the following:

1=1/1 = 2/2 = 3/3 = 4/4 = 5/5= 6/6 = 7/7 =

8/89/9 = 10/10

Thus, we found that (3+2√2)(3-2-√2) is a rational number because it results in 1.

Hence proved that (3+2√2)(3-2√2) is not an irrational number.

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