Maths help!! Surds Watch

NeedHelp109
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I don't know how you work out 6√56?? Can you give a step by step how you found out?
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Lilysmithxoxo
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Search surds calculator or google. They can do them all for u and pretty sure most give a step by step explanation.
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the bear
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find a square number which goes into 56 ( apart from 1 )
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yousman3357
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Root56 is 2root14

Multiply 2root14 by 6

Answer is 12root14
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username3046474
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6 √56 = 12 √14

Step by step solution

√56 can be simplified to √14 and √4 because 14 x 4 = 56

But remember √4 = 2

So it’s 2 √14

You then take the 6 and put it with 2 √14

This gives you (6) 2 √14

You then multiply the 6 by 2 to give 12

This gives you 12 √14

Hope this made sense! Let me know if you are confused on anything.
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NeedHelp109
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Thank you! Your step by step was awesome demonstration.. but Do you find the highest common factor of 56?
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myraxo
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(Original post by NeedHelp109)
Do you find the highest common factor of 56?
No, you find the highest square factor of 56, in this case 4, so that you can simplify it’s surd
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NeedHelp109
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Ooh makes much more sense, thank you a lot!
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StudenO
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(Original post by NeedHelp109)
I don't know how you work out 6√56?? Can you give a step by step how you found out?
When you say work out surds, this isn't a typical question at GCSE, it is often simplify or rationalise a surd. To simplify surds it is often breaking them up into numbers that can be square rooted, in terms of √56 this can't be broken down into sqaurerootable numbers and therefore you can't do anything with 6√56 there must be another part to the question.
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