sqrt(160)
We know that 12^2 = 144 and 13^2 = 169 .
So the square roots of 144 and 169 are 12 & 13 respectively,
Since 160 is between 144 & 169 , then its square root is between 12 & 13.
So by trial and Error , we try 12.5^2 = 156.25 This is too small so try 12.6
12.6^2 = 158.76 Still too smalle
12.7^2 = 161.29 This is too large , so try 12.68
12.68^2 = 160.7824 Still too large ,so try 12.67^2
12.67^2 = 16.5289 Too large
12.66^2 = 160.2756
12.65^2 = 160.0225
12.649^2 = 159.99
12.6495^2 = 160.0098503...
So to 4 d.p. the sqrt(160) ~ 12.6495
You can keep going like this, until you reach the required number of decimal places.
There is a 'mechanical' method to find square root, but it would take me all day to explain .
Per electronic calculator the answer is 12.64911064....
160/16=10 root 160= root 16 times root 10. root 16= 4 so 4 times root ten is your answer
√160 = 12.649110641 (or 12.65 to two decimal places). It depends an what is meant by 'between'.
[object Object]
square root of (2 ) square root of (3 ) square root of (5 ) square root of (6 ) square root of (7 ) square root of (8 ) square root of (9 ) square root of (10 ) " e " " pi "
square root 2 times square root 3 times square root 8
160/16=10 root 160= root 16 times root 10. root 16= 4 so 4 times root ten is your answer
4sq 10
The numbers are: 12+square root of 304 and 12-square root of 304
√160 = 12.649110641 (or 12.65 to two decimal places). It depends an what is meant by 'between'.
160.000
[object Object]
Negative numbers do not have square roots. Multiplying any number by itself will always be a positive number. For example, -1 x -1 is 1. Because two negatives cancel themselves out, and regular numbers are always positive.
sqrt(160) = sqrt(16*10) = sqrt(16)*sqrt(10) = 4*sqrt(10)
The fifth root of 160 = 2.759459
sqrt(160) = sqrt(16*10) = sqrt(16)*sqrt(10) = 4*sqrt(10)
sqrt(160) sqrt(4^2 * 10) = 4sqrt(10) -------------------simplest radical form
160