Answer: From from least to greatest:
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(√8)/2; 2; √7 ;
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Or, write as: (√8)/2 < 2 < √7
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How to solve (without a calculator!):
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We have three numbers, √7 ; 2; (√8)/2
(√8)/2 = [√4*√2] / 2 =[2*√2] / 2 ----> The "2's cancel out, which leaves us with "√2"
So, (√8)/2 = √2;
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So, we rewrite our three numbers:
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√7 ; 2; √2
Obviously, 2 is going to be greater √2
If the "2" is equal to "√4", then we know that "√7" will be greater than "2".
So from least to greatest:
√2, 2, √7 ; Yet, we shall rewrite "√2" as its original notation: "(√8)/2" :
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So from least to greatest:
_____________________
(√8)/2; 2; √7 ;
_______________
Or, write as: (√8)/2 < 2 < √7.
