arrow
arrow
arrow
Which of the following is a rational number between 5\sqrt55​​ and 7\sqrt77​​ ?
Question

Which of the following is a rational number between 5\sqrt5​ and 7\sqrt7​ ?

A.

2252\frac{2}{5}​​

B.

1151\frac{1}{5}​​

C.

3153\frac{1}{5}​​

D.

4154\frac{1}{5}​​

Correct option is A

Given:

We are asked to find a rational number between 5\sqrt{5}​ and 7\sqrt{7}​.

Solution:

52.236,72.646.\sqrt{5} \approx 2.236 , \sqrt{7} \approx 2.646.​​

We need a rational number between 2.236 and 2.646. Among the options:

Option A: 225=2.4, 2 \frac{2}{5} = 2.4,​ which lies between 2.236 and 2.646.

Thus, option (A) is right answer.

Free Tests

Free
Must Attempt

CBT-1 Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

CBT-1 General Awareness Section Test 1

languageIcon English
  • pdpQsnIcon40 Questions
  • pdpsheetsIcon30 Marks
  • timerIcon25 Mins
languageIcon English
test-prime-package

Access ‘RRB NTPC’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow