Question

Find a rational number between
$\sqrt{2}$
and √ 7​

Answer 1

Answer:

root 4

Step-by-step explanation:

Answer 2

Hey there!

There are two ways to solve this question!

♦ 1st Way:  [Standard Way]

For solving this question you need to know values of √2 and √7.

We know,

√2 = 1.414

√7 = 2.646

Now,

1.414 < (1.414 + 2.646)/2 < 2.646

1.414 < 4.06 / 2 < 2.646

1.414 < 2.03 < 2.646

Hence, one rational number b/w √2 and √7 is 2.03.

♦ 2nd Way.   [Short trick]

Given,

√2 and √7

We have to insert one rational number b/w these.

Imagine a perfect square root between these two i.e √4.

So, one rational number b/w √2 and √7 is √4 or 2.

Hope it Helps You!