Question

2) If y^2=625 then y is

a) rational number b) an irrational number

c) neither rational nor irrational d) a natural number

​

Answer 1

Answer:

a)

Step-by-step explanation:

y = 25 or y = -25

So y is a rational number.

y can be -25 , so it is not a natural number in that case.

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If y² = 625 then y is

a) rational number

b) an irrational number

c) neither rational nor irrational

d) a natural number

EVALUATION

Here it is given that

y² = 625

⇒ y² = 25²

⇒ y = ± 25

Since 25 and - 25 both can be written in the form $\displaystyle \sf{ \frac{p}{q} \: }$ Where p & q are integers with q ≠ 0

So 25 and - 25 both are rational number

Consequently y is a rational number

So y can not be irrational number

Since the value of y can be - 25 and - 25 is not a natural number

So y is not a natural number

FINAL ANSWER

Hence the correct option is

a) rational number

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