Question

If the square of a number is between 25 & 48, then the number is between ? and ?

Accepted Answer

To put your question in maths terms:
Let x= the number
25<x^2<48  as it cannot =25 or it cannot =48 if it is between them.
As sqrt(25) = 5  and  sqrt(48)= 6.93  (rounded to 2 decimals)
5.01 <=  x  <=  6.92 (rounding off to 2 decimals)
Please remember to only post one question at a time. Your questions were all unrelated so please post them separately.
therefore The number is between 5.01 and 6.92 or equal to them

Answer

(1) -> Given: square of a number is between 25 - 48 Solution : Case 1: If the number is a positive integer then it will be between Intger(square root of(25)) and Integer(square root of (49)) since 48 is not a perfect square and the next perfect square is 49. Hence the number will be between 5 and 7 <-- Answer Case 2:If the number is an (+) or (-) integer then it will be between -5 and 7 <--Answer [ since square root of 25 is (+5) and (-5) Case 3:If the number is positive real number then it will be between 5.0 and 6.928 Case 4:If the number is a (+) or (-) real number then it will be between -6.928 and +6.928 <-- Answer Q2) There are 7 numbers which are perfect square including 1 and 54 [ they are : 1, 4, 9, 16, 25, 36, 49 ] therefore there are 7 ways by which any one of the number picked will be a perfect square and there are 54 ways by which any number 1 - 54 (both inclusive) can be picked. Therefore probability of a number picked random will be a perfect square = 7/54 = 0.129 <-- Answer Q3) Every positive number >1 is greater than its square root example : square root of 4 = (+2) and (-2) [4>2, 4>-2] Similarly square root of 9 = (+3) and (-3) [ 9>3, 9>-3] And the square root 1 is equal to 1 Hence we can say that Every number is greater than or equal to its square root From the example given we can also say the counter that is : Square root of Every positive number is less than or equal to the number

Math

If the square of a number is between 25 & 48, then the number is between ? and ?

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