Question

v) (✓3+ ✓2)² how is this a irrational number? ​

Answer 1

QUESTION:

v) (✓3+ ✓2)² how is this a irrational number? .

ANSWER:

We use the identity here;

$({x + y})^{2}$

the expansion of the identity is

${x}^{2} + {y}^{2} + 2xy$

NOW COME TO YOUR QUESTION :

$( { \sqrt{3} + \sqrt{2} })^{2}$

$( { \sqrt{3} })^{2} + ( { \sqrt{2} })^{2} + 2 \times \sqrt{3} \times \sqrt{2} \\ 3 + 2 + 2 \sqrt{6} \\ 5 + 2 \sqrt{6}$

HENCE root 6 is a irrational number so the given question is also irrational number.

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