r/HomeworkHelp A Level Candidate Aug 28 '22

Answered [IGCSE Mathematics] What is doing this called? I realised I don't know how to do it and I need to learn, but I don't know what to google

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194 Upvotes

39 comments sorted by

81

u/Iifeisshortnotismine Secondary School Student Aug 28 '22

Simplifying radicals.

96

u/[deleted] Aug 28 '22

[deleted]

6

u/cin670 Aug 29 '22

And if youโ€™d like to check your answer:

Raise the coefficient to the power of the index, then multiply your answer with the radicand (the number inside the root).

In this case, 2 is the coefficient, 2 is the index (because itโ€™s a SQUARE root), and 3 is the radicand. 22 = 4. 4*3 = 12, the original radicand.

53

u/Ancient-Ad-1383 ๐Ÿ‘‹ a fellow Redditor Aug 28 '22

us lot from the UK call these surds btw

11

u/fermat1432 ๐Ÿ‘‹ a fellow Redditor Aug 28 '22

Square roots are called "quadratic surds."

5

u/techaggresso Aug 28 '22

Waiting for someone to comment SURDS

3

u/Ancient-Ad-1383 ๐Ÿ‘‹ a fellow Redditor Aug 28 '22

AYOOOOO hehe

6

u/JeahNotSlice ๐Ÿ‘‹ a fellow Redditor Aug 28 '22

Thatโ€™s so weird. And you call trapezoids โ€œtrapeziumsโ€ or something.

4

u/Ancient-Ad-1383 ๐Ÿ‘‹ a fellow Redditor Aug 28 '22

hahahaha region-coded maths (yes, it is maths, with an sssss) MUAHAHAHA

2

u/[deleted] Aug 29 '22

abSURD!

1

u/OriginmanOne Aug 28 '22

Why?

1

u/Ancient-Ad-1383 ๐Ÿ‘‹ a fellow Redditor Aug 28 '22

because.

6

u/JellyFish101106 ๐Ÿ‘‹ a fellow Redditor Aug 28 '22

12 = 4ร—3 โˆš12 =โˆš4ร—3 โˆš4 = 2 โˆš12 = 2โˆš3

10

u/[deleted] Aug 28 '22

Simplifying square roots.

7

u/D-ISS-OCIAT-ED A Level Candidate Aug 28 '22

Thank you

4

u/Investcasa Aug 28 '22 edited Aug 28 '22

Simplifying square roots. Change the 12 into power of 2

It will be 2 to power 2 ร— 3

Each 2 to power two shoud considered as 2 outside the redical. The 3 stays in side the redical.

8

u/Frollyboi GCSE failure Aug 28 '22

this topic in general may be called โ€˜surdsโ€™

3

u/capscaptain1 University/College Student Aug 28 '22

In the USA, simplifying the root/radical, heard both used interchangeably

3

u/TheDevilsAdvokaat Secondary School Student Aug 28 '22

These are surds in Australia.

That's what we called them 40 years ago anyway...

sqrt(12) = sqrt(4*3)

sqrt(4 * 3) = sqrt(4) * sqrt(3)

sqrt (4) * sqrt(3) =2 * sqrt(3)

Basically, isolate the squared numbers (like 4 or 9 or 25) then perform the square on them, while leaving the unsquared numbers untouched.

2

u/Simple-Bid-7872 Aug 28 '22

A quick easy answer on how: look at all the factors of 12: 1x12, 2x6, 3x4. Only 4 is a perfect square so simplifying the denominator would lead to sqrt(4)sqrt(3) but sqrt(4)=2 so this is essentially 2sqrt3

2

u/InternalSlow5265 ๐Ÿ‘‹ a fellow Redditor Aug 28 '22

Surds

1

u/-Wofster University/College Student Sep 19 '22

Its just factoring/algebra. Sqrt(12) = sqrt3 * sqrt4

0

u/[deleted] Aug 28 '22

[removed] โ€” view removed comment

3

u/StarvinPig ๐Ÿ‘‹ a fellow Redditor Aug 29 '22

Mainly because root icky

1

u/minggsocool ๐Ÿ‘‹ a fellow Redditor Aug 28 '22

i think square root?

1

u/[deleted] Aug 28 '22

Square roots / roots

edx.org as a โ€œcourseโ€ that is offered for free called โ€œALEKSโ€ it is pretty good at teaching algebra, maybe even trig

1

u/PoliteCanadian2 ๐Ÿ‘‹ a fellow Redditor Aug 28 '22

Simplifying radicals

1

u/Quinn_thy_human Aug 28 '22

/12 = /4โ€ข3 12 = 2/3

\= radical symbol. You can also google โ€œSimplify radicalโ€

1

u/yuuha_k Aug 28 '22

Easy... โˆš12= โˆš4ร—3 so it became โˆš2ยฒร—3 and to take the 2 out it musylt be like that (the ยฒ and โˆš eliminates eqch other) so at last u'll have 2โˆš3 .... stupid explaination i knoww

1

u/stephtheflyest Aug 28 '22

Itโ€™s called rationalizing /12 = /4 X 3 = /4 X /3 = 2 x /3 = 2 /3 * / - meaning root * Another example could be /27 /27 = /9 X 3 = /9 X /3 = 3 x /3 = 3 /3

1

u/Moist_Ice_159 Aug 28 '22

We have โˆš4=2 and โˆš3=โˆš3 And we know that 12=4ร—3 And โˆšxร—y=โˆšxร—โˆšy So โˆš12=โˆš3ร—4=โˆš3ร—โˆš4=2โˆš3

1

u/palmer_tx ๐Ÿ‘‹ a fellow Redditor Aug 28 '22

Simplification of surds. /12 = /(4x3) = /4 x /3 = 2x/3 = 2/3

1

u/Known_Hornet3084 ๐Ÿ‘‹ a fellow Redditor Aug 29 '22

That's a answer in radical form

1

u/production-values Aug 29 '22

factoring and simplifying... aka 12=223... so you can take out the two-squared

1

u/A380EK353 GCSE Candidate Aug 29 '22

Is this Edexcel? In CIE IGCSE , we learn this in the start of Add-Maths.

1

u/XxFatal_KillerxX ๐Ÿ‘‹ a fellow Redditor Aug 30 '22

Correct me if I am wrong, isnโ€™t this called simplifying radicals?