Question

(a)√3 + √2 is an irrational number.

Answer 1

To ProvE :

√3 + √2 is Irrational number.

SolutioN :

°•° Let assume √3 + √2 is Rational number.

So, It can write as in the form of p/q.

→ √3 + √2 = p / q .

• Squaring both Sides.

→ 3 + 2 + 2√6 = p² / q².

→ 5 + 2√6 = p² / p².

→ 2√6 = p² / q² - 5.

→ 2√6 = p² - 5q² / q².

→ √6 = p² - 5q² / 2 q².

$\rule{200}2$

✎ We are notice √6 is Irrational number but p² - 5q² / 2 q². is Rational number.

☛ Irrational ≠ Rational.

✡ So, Our assumption was Wrong √3 + √2 is Irrational number.

Answer 2

Answer:

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