Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Rewrite each of the following expressions so that the denominator is rational
MATHEMATICS · Multi-part · GCSE · Mathematics · Algebra · Algebra
Problem
Rewrite each of the following expressions so that the denominator is rational, and simplify the result completely. (a)
7
2
3
\dfrac{7}{2\sqrt{3}}
2
3
7
(b)
5
2
18
\dfrac{5\sqrt{2}}{\sqrt{18}}
18
5
2
(c)
9
7
−
3
7
\dfrac{9}{\sqrt{7}}-\dfrac{3}{\sqrt{7}}
7
9
−
7
3
Related theory
Real Number System
Surds and rationalisation
Algebra
Browse the problem library