Question

Show that 3√7 is an irrational number.​

Answer 1

3×2.645 =7.935An irrational number is any number that cannot be written as a fraction of whole numbers. The number pi and square roots of non-perfect squares are examples of irrational numbers.

Answer 2

Step-by-step explanation:

lets 3 √ 7 be rational

$\frac{1}{3} \times 3 \sqrt{7} = \sqrt{7 = rational}$

(product of two rational ís rational)

This contradicts the fact that √7 is irrational

The contradiction arises by assuming 3√7 is rational

Hence, 3√7 is irrational.