Question

1. Choose the rational number from the following:
(a) 1/√2(b) 3√4 (c) 7√5 (d) 3 + √2​

Answer 1

Answer: A.. 1/√2

Step-by-step explanation:

Answer 2

option (a)

1/√2 is the rational number

Step-by-step explanation:

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator  Since q may be equal to 1, every integer is a rational number

here (a) $\frac{1}{\sqrt{2} }$

is a rational number

as , when we rationalise this we get

$\frac{1}{\sqrt{2} } \times \frac{\sqrt{2} }{\sqrt{2} }$

= $\frac{\sqrt{2} }{2}$

which is in the form of $\frac{p}{q}$ and q ≠ 0

therefore ,

$\frac{1}{\sqrt{2} }$ is a rational number,

other options (b),(c),(d) are not in the form of $\frac{p}{q}$ so they are irrational numbers.

hence,

option (a) is correct

$\frac{1}{\sqrt{2} }$  is a rational number.

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