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Is the square root of a number always bigger than its square root?
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.
Is the square root of a number less than the number?
It is if the number is more than ' 1 '. If the number is less than ' 1 ', then it's smaller than its own square root.
How do you know if a square root is simplifed?
A square root is simplified when: -The radicand has no perfect square factors other than 1 -The radicand has no fractions -There are no square roots in the denominator *Radicand: the number and/or variables underneath the square root sign
Why the factors of a number which is not a perfect square or a prime one should be less than the square root of the number and the other factor should be greater than square root of number?
The square root of the number acts sort of like the 'multiplicative middle' of the number. When you multiple the square root by itself, you get back to original number. When you search for factors of the number (easier to see when thinking of real numbers) it's intuitive that you must have one number on either side of this 'multiplicative middle'
Does the square root of 2 or 1.5 have the greater value?
Since the square root of a number is the "number times itself that equals the original number," it makes sense that the larger the original number, then the larger the square root. The value of the square root of 2 will be greater than the value of the square root of 1.5.
Is the square root of a number always bigger than its square root?
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.
Has integers as its square root?
Such a number is called a "perfect square".
What number other than 6 is the square root of 36?
negative 6
Is the square root of a number less than the number?
It is if the number is more than ' 1 '. If the number is less than ' 1 ', then it's smaller than its own square root.
How do you know if a square root is simplifed?
A square root is simplified when: -The radicand has no perfect square factors other than 1 -The radicand has no fractions -There are no square roots in the denominator *Radicand: the number and/or variables underneath the square root sign
Why the factors of a number which is not a perfect square or a prime one should be less than the square root of the number and the other factor should be greater than square root of number?
The square root of the number acts sort of like the 'multiplicative middle' of the number. When you multiple the square root by itself, you get back to original number. When you search for factors of the number (easier to see when thinking of real numbers) it's intuitive that you must have one number on either side of this 'multiplicative middle'
What is the largest 3 digit prime number whose square root is a prime number?
There is no three digit prime number whose square root is a prime number. Prime numbers have no factors other than 1 and themselves. Any number having a prime number as a square root is a composite number.
Does the square root of 2 or 1.5 have the greater value?
Since the square root of a number is the "number times itself that equals the original number," it makes sense that the larger the original number, then the larger the square root. The value of the square root of 2 will be greater than the value of the square root of 1.5.
When is a square root less than the number?
when the number is greater than 1
True or false- a square number is always bigger than it's square root?
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.
Is there a prime factor greater than the square root of an integer?
No there is not. If you are looking for prime factors of a number and you get to the square root of that number you can stop. Yes, there is. If an integer is not itself a prime, then one of its factors will be less or equal to its square root and the "co-factor" will be greater than or equal to the square root. But both cannot be greater than the square root so, when searching for factors, you can stop when you reach the square root.
Is the square root of any composite numbers rational?
Yes, of some; the square root of any perfect square is rational - for example, the square root of 4, of 9, of 16, etc.On the other hand, if your "composite number" is not a perfect square, then its square root is irrational.
