Good fractions p/q for √3 have p² - 3q² = 1. If p = 26… | StemPy Lab

Help Contact For teachers and institutes

Mock Tests Classes Groups

StemPy Lab

Learn. Solve. Code the solutions. Test yourself.

Live examsFree mock exams, timed and rankedEveryone starts together, and your score and rank come the moment it ends.See the exams →

Learn

Physics
Chemistry
Mathematics
Biology
Python Programming
Statistics & Data Science
Classes
Groups

Practice

Problems
Quizzes
Mock Tests
Prepare for an Exam
Question Sets
Exams
Certificates
Python Labs
AI Practice Generator
Student-Created Tests

Community

Discussions
Resources
Notes
Blog

Account

Dashboard
My Content
Profile
Log in

© 2026 senLearn. All rights reserved.Help About Contact Privacy Policy Terms of Use Refund Policy

Good fractions p/q for √3 have p² - 3q² = 1. If p = 26… | StemPy Lab

Quizzes
Good fractions p/q for √3 have p² - 3q² = 1. If p = 26, what is q?

MathematicsHardHigh School (9–10)GeneralNumber Systems › Rational and Irrational Numbers Olympiad

Created by StemPy Lab

Good fractions $\dfrac{p}{q}$ for $\sqrt{3}$ have $p^2 - 3q^2 = 1$ . If $p = 26$ , what is $q$ ?

← All Quizzes

← Neha adds, squares and multiplies square roots. Which of her four results is a whole number?Four students each state a rule about irrational numbers. Whose rule is wrong? →

More onNumber Systems › Rational and Irrational Numbers

Discussion (0)

Log in to join the discussion.

Loading…

More questions on this topic

Below are four claims: two are about a linear equation in integers and two are about prime and…Advanced
A prime p is called a ladder prime when all five numbers p, p + 6, p + 12, p + 18 and p + 24 are…Hard
Four students each state a rule about irrational numbers. Whose rule is wrong?Medium
Neha adds, squares and multiplies square roots. Which of her four results is a whole number?Medium
What is the smallest whole number m for which √12m is a whole number?Medium

All questions on this topic →

Problems on this topic

Write the integers from 1 to 60 one after another to make the single large number N =…Advanced
A square garden has an area of 18 m². Find its side, its perimeter and its diagonal…Medium
Find √3 + √5 to three decimal places. Prove that √3 + √5 is irrational…Hard
Find the whole number m for which (3 + √m)(3 - √m) = 4…Medium

All problems on this topic →