Question

Find which of the variable X,y,z and u represent rational number and which irrational number:I)x^2=5 ii)y^2=9 iii)z^2=0.04 iv) u^2=17/4

Answer 1

Answer:

X, U represents irrational numbers. Y,Z represent rational numbers.

Step-by-step explanation:

X = √5 and U = √ 4.25

These are not perfect squares.Hence, their square roots will go on indefinitely, yet without a terminating point.

Y =√9= 3 and Z = √0.04 = 0.2

These are pure (perfect) numbers without much ado. These are obtained because their derivers were perfect squares.

Hence, proved.

Answer 2

Answer:

i) x2 = 5

On solving, we get ⇒ x = ± √5 Hence, x is an irrational number

. (ii) y2 = 9

On solving, we get ⇒ y = ± 3 Hence, y is a rational number.

(iii) z2 = .04

On solving, we get ⇒ z = ± 0.2 Hence, z is a rational number.

(iv) u2 = 17/4 On solving, we get ⇒ u = ± √17/2 √17 is irrational.

Hence, u is an irrational number.