Q11 of 128 Page 25

Prove following numbers are irrational.

Let k = is a rational number

Therefore,

Squaring both sides we have,

is rational

is also rational

But, we know that is irrational.

So, our assumption is wrong.

is an irrational number.

Find g. c. d and l.c.m.

35, 28, 63

Find g. c. d and l.c.m.

112, 128, 144

Prove following numbers are irrational.