√5(√8 + √18) can be written in the form a√10 where a is an integer. Find the value of a.

We have:
√5(√8 + √18)
Now, multiply out the brackets (multiply everything inside the brackets by √5). This gives us
√40 + √90
We now need to simplify the SURDs. We know that we want the answer in the form a√10, so we will try to include √10 in both SURDs (and also to get them into a format where we can add them - both need to have the same SURD).
√40 + √90 = √(4x10) + √(9x10) = √4√10 + √9√10 = 2√10 + 3√10 = 5√10
Hence, a = 5.

Answered by Maths tutor

17281 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

a) A line passes through (0,9) and (3,12) write down the equation of this line . b) A line perpendicular to the line in part a passes through the point (3,14) write the equation of this line.)


Simplify 2^11 x 8


Why do we bother using surds?


ABD is a triangle, C lies on BD. AD=BD=√2/2 and CD=√3/3. Find the EXACT area of ABC. (all measurements are in cm)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences