How to subtract square roots

SAT Math · Learn by Concept

Help Questions

SAT Math › How to subtract square roots

1 - 1

1

Evaluate: $\sqrt{108}-\sqrt{81}$

$6\sqrt{3}-9$

CORRECT

$24\sqrt{3}-81$

0

$24\sqrt{3}-9$

0

$4\sqrt{27}-\sqrt{9}$

0

None of the available answers

0

Explanation

Let us factor 108 and 81

$108=2\times 54= 2\times 2\times 27= 2^2\times 3\times 9= 2^2\times 3^2\times 3$

$81=9\times 9=9^2$

$\sqrt{108}-\sqrt{81}=6\sqrt{3}-9$

Return to subject

AI Study CoachYour personal study buddy

Instant TutoringConnect with a tutor now

Request a TutorGet matched with an expert

Live ClassesJoin interactive classes

Question of the DayDaily practice to build your skills

FlashcardsStudy and memorize key concepts

AI SolverStep-by-step problem solutions

Learn by ConceptMaster concepts step by step

Practice TestsTest your skills with exam questions

QuizzesTest your knowledge with a quiz

GamesLearn through free games