How to Simplify a Surd

This lesson explains how to fully simplify a surd!

Here are the main steps:
1.) Express the number inside the square root as a product of its prime factors.
2.) Pick out pairs of prime factors and remove the square roots from these values.
3.) Multiply the remaining values together to get the surd in its simplest form!

We hope this helps!

#Shorts #gcse #gcsemaths #gcses #gcsememes #year #memes #gcserevision #maths #gcsemathsrevision #britishmemes #mathstutor #secondaryschool #gcsestudygram

[MrPaulc]

Alternatively, the way I usually do it unless it's *very* complex:
If the number under the root sign is divisible by 4, quarter it and double the number before the root sign (a 1 in this instance which is not shown by conventiom):
sqrt(252) becomes 2root63
Then sqrt(63) is sqrt(9)*sqrt(7) which is 3root7 which gives 2*3root7 so 6root7.
Just an alternative path which some might find easier unless starting with a very large number.

[tyronekim]

I learned something new today. Thank you.

[unify]

I believe that I found my Maths Teacher. Thank you Lord, and bless This Teacher.👍

[russellmurray]

So . . . when does a surd become absurd?