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# Simplifying surrds! watch

1. For example square root 375...
2. think of square numbers ending in 5...
3. You break them down into a product of primes, then multiply the primes (as surds), and then you will get your answer.
4. (Original post by heyitscraziix)
For example square root 375...
As an extension of what the bear said, look for square numbers that are factors.
5. (Original post by Turtlebunny)
You break them down into a product of primes, then multiply the primes (as surds), and then you will get your answer.
For some reason i just dont understand this topic.
6. (Original post by heyitscraziix)
for some reason i just dont understand this topic.
7. just make a list of square numbers...

1,4,9,16,25,36,49,64,81,100 etc

look for which of them go into the big number...

75 = 15*5 neither of those is a square

75 = 25*3 one is a square

so √75 = √25*√3

so √75 = 5*√3
8. (Original post by the bear)
just make a list of square numbers...

1,4,9,16,25,36,49,64,81,100 etc

look for which of them go into the big number...

75 = 15*5 neither of those is a square

75 = 25*3 one is a square

so √75 = √25*√3

so √75 = 5*√3
This is alright, but for larger surds, breaking it down into prime factors is always the way to go, not only is it quicker, but it will always give you the right answer if you do it properly

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Updated: October 18, 2015
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