No products in the cart.

  1. Homework Help
  2. CBSE
  3. Class 10
  4. Mathematics

Prove that 16+17√3 is an irrational …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Install Now
Prove that 16+17√3 is an irrational number

    • Posted by Jyoti Yadav 1 year, 3 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Khwahis Parveen 1 year, 2 months ago

    Let 16+17√3 be rational and let it's simplest form be p/q where p and q are integers and q≠0. Then, 16+17√3=p/q 17√3=p/q – 16 √3=p/q–16/17 …(i) Now, p/q is rational →(p/q–16/17) is rational [… difference of rational is rational] √3 is rational … from (i) The contradiction arises by assuming that √3 is rational. Hence, 16+17√3 is irrational.

    0Thank You

    ANSWER
    http://mycbseguide.com/examin8/

    Related Questions

    Water

    • Posted by S Prajwal 1 month, 1 week ago

    CBSE > Class 10 > Mathematics
    • 0 answers
    (A + B )²

    • Posted by Abhishek Gupta 1 month, 1 week ago

    CBSE > Class 10 > Mathematics
    • 1 answers
    X-y=5

    • Posted by Kishan Thakur 1 month, 1 week ago

    CBSE > Class 10 > Mathematics
    • 1 answers
    Find the nature of quadratic equation x^2 +x -5 =0

    • Posted by Parinith Gowda Ms 1 month, 1 week ago

    CBSE > Class 10 > Mathematics
    • 0 answers
    Find cosec 30 degree and cause 60 degree geometrical

    • Posted by Hari Anand 1 day, 22 hours ago

    CBSE > Class 10 > Mathematics
    • 0 answers
    If 1/2 is a root of equation x^2+kx- 5/4 =0 , then what is the value of k

    • Posted by Parinith Gowda Ms 1 month, 1 week ago

    CBSE > Class 10 > Mathematics
    • 1 answers
    sin60° cos 30°+ cos60° sin 30°

    • Posted by Vanshika Bhatnagar 1 month, 1 week ago

    CBSE > Class 10 > Mathematics
    • 2 answers
    Find the sum of the odd no. Between 0 and 50

    • Posted by Kanika . 1 month, 1 week ago

    CBSE > Class 10 > Mathematics
    • 1 answers
    Venu Gopal has twice

    • Posted by Lakshay Kumar 1 month, 1 week ago

    CBSE > Class 10 > Mathematics
    • 0 answers
    Is it possible to design a rectangular mango Grove whose length is twice it's breadth, and the area is 800m²? If so, find it's length and breadth

    • Posted by Akshata Choukse 1 month, 1 week ago

    CBSE > Class 10 > Mathematics
    • 0 answers

    myCBSEguide App

    myCBSEguide

    Trusted by 1 Crore+ Students

    Install Now

    Test Generator

    Test Generator

    Create papers online. It's FREE.

    Try Now

    CUET Mock Tests

    CUET Mock Tests

    75,000+ questions to practice only on myCBSEguide app

    Install Now
    Google Play

    Download myCBSEguide App

    All Courses

    Other Websites

    CBSE Courses

    Resources

    Corporate

    NCERT Solutions

    CBSE Sample Papers

    All Content and Intellectual Property is under Copyright Protection | myCBSEguide.com ©2007-2024