## anonymous one year ago how do I get a real number from the square root of (4560)

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1. anonymous

It's 67.52777206

2. anonymous

What did you mean by 'real number'?

3. dan815

plus or minus 67.52777206

4. zzr0ck3r

We only use $$\pm$$ when we "induce the" square root. $$\sqrt{4}=2$$ $$x^2=4\implies x=\pm 2$$ @dan815

5. dan815

oh true

6. triciaal

|dw:1441350162859:dw|

7. triciaal

I used the prime factorization of 4560 2*2*2*2*3*5*19 took the 2's out 4*15=60 and 4*19= 76 I know the root will be between 60 and 76 76 -60 =16 19-15 = 4 for every change by 1 number the root changes by 4 the average change is 2 so the root changes by 2*4 = 8 the square root is therefore 60 +8 = 68

8. zzr0ck3r

68*68 = 4624 @triciaal