Question

class - 10th chapter 1 Real number
exercise 1.3 question no. 3 ❣❣❣❣
❣❣✧༺♥༻✧✧༺♥༻✧❣❣​

Answer 1

Answer:

1) let 1/√2 be a rational number.

a and b are Co Prime integers.

$\frac{1}{ \sqrt{2} } = \frac{a}{b} \\ \frac{b}{a} = \sqrt{2} \\ \\ lhs = rational \\ rhs = irrational$

Contradiction arises, this is due to our wrong assumption.

1/√2 is irrational.

2)let 7√5 be a rational number.

a and b are Co Prime integers.

$7 \sqrt{5} = \frac{a}{b} \\ \sqrt{5} = \frac{a}{7b} \\ \\ lhs \: = irrational \\ rhs = rational$

this is due to our wrong assumption.

7√5 is irrational number.

Answer 2

Hi Aditya

Your answer is in the given attachment

HOPE IT IS HELPFUL ....

#thank you#