hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    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

    RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 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
    368k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow