when the number is greater than 1
Yes, if the number is less than 1
You eventually get the answer 1
only if x is greater than 1
1 is less than the square root of 2.
Yes, if the number is less than '1'.Just the opposite, if the number is greater than '1'.
when the number is greater than 1
False. Only a square number greater than 1 is always bigger than its root. For example, the root of 16 is 4, but the root of 1/16 (0.0625) is 1/4 (0.25) and the square root of 1 is 1.
5 1/4 = 5.25 square root of 26 approximately equal to 5.099 Hence 5.25 > 5.099 or 5 1/4 is greater than square root of 26
Yes, if the number is less than 1
You eventually get the answer 1
only if x is greater than 1
No. The square roots of numbers between 0 and 1 (not including 0) are greater than or equal to (in the case of 1) the number. The square root of 0.49 is 0.7 for example.
1 is less than the square root of 2.
The square root of 2 and the square root of 3 both qualify. Both of these are irrational and both are greater than 1 but less than 2. There are, of course, uncountably infinite different irrational numbers in the range between 1 and 2 and countably infinite rational numbers.
No, not always since: if a number is more than 1, then its square root is smaller than the number. if a number is less than 1, then its square root is bigger than the number.
when x is a negative number --- is a wrong answer since square root of a negative number is not defined. So x has to be zero or a positive number. The correct answer is that when x lies between 0 and 1 (with both limits excluded), its square root is greater than the number itself. Of course at both limits, the square root (assuming the positive square root - since a square root of a number can be positive or negative, both with the same absolute value) is the same as the number.