Write √98+3√8-√200 in the form a√2, where a is an integer

Step 1: Put all the surds in to the form a√2. Starting with √98 try and work out what numbers multiply together with 2 to get 98 (2x49). Therefore √98=√(2x49). As 49 is a square number you can take it outside the square root sign but remember to square root it. So √98=7√2. Repeat with the other surds to get 3√8=3√(4x2)= (3x2)√2=6√2 and √200=√(100x2)=10√2 Step 2: Add/minus the three numbers in front of √2 (according to the question) so 7+6-10=3 and then write the answer in the form a√2 hence 3√2

ER
Answered by Emma R. Maths tutor

5588 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve 7x-5>22-2x


Bill buys 8 identical cricket balls. The total cost is £169.04 Work out the total cost of 19 of these cricket balls. (Calculator allowed).


Solve the simultaneous equations 5x+2y=13 and x-2y=5.


Kelly is trying to work out the two values of w for which 3w-w^3=2. Her values are 1 and -1. Are her values correct?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences