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Why is one of the square roots of any positive number less than zero?
Wiki User
∙ 10y ago
Because a negative times a negative always equals a positive. For example, -2 times -2 equals 4.
Wiki User
∙ 10y ago
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Is a negative greater or less than a positive number?
A negative number is less than a positive number. Think about it this way: a negative number is less than 0. A positive number is greater than 0. Therefore, a negative number must be less than a positive number.
How many Positive integers less than 1000 are multiples of 11 whose square roots are whole numbers?
To have a whole number square root, the number is a perfect square. Thus the numbers will be the squares of multiples of 11. Thus the first number will be (1×11) × (1×11) = 11² = 121 The next candidate will be (2×11) × (2×11) = 22² = 484 The next possible candidate will be (3×11) × (3×11) = 33² = 1089 which is too large. Thus there are two multiples of 11 less than 1000 whose square roots are whole numbers, namely 121 (11²) and 484 (22²)
The square root of a number x is always less than x?
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.
When the square root of one number is subtracted from the square root of another the difference is 1 less than the square of 9?
Try the square roots of 1 and 6561, which are 1 and 81. Their difference is 80 which is one less than 81. And that is the square of 9. In fact this works whenevr the first of the two numbers is a square number. So the purpose of the question is not clear.
Explain why the roots of a quadratic equation are imaginary if the value of the discriminant is less than 0?
The square of any real number is non-negative. So no real number can have a negative square. Consequently, a negative number cannot have a real square root. If the discriminant is less than zero, the quadratic equation requires the square root of that negative value, which cannot be real and so must be imaginary.
What is the square root of any whole number?
The square root of a positive whole number, N, is a number which, when multiplied by itself equals N. If N = 0 then the square root is also 0. If N is greater than 0 there will be two such numbers: one positive and the other its negative equivalent. If N is a perfect square the square roots will, themselves, be whole numbers. Otherwise, they will be irrational numbers. If N is a whole number less than 0 then there are no real square roots. Although there are square roots in the complex field, the fact that you ask this question is indicative that you are not yet ready to tackle complex numbers.
What is the largest prime number that has a square root that is less than 20?
Prime numbers can't have whole number square roots, of course, but the largest prime number under 400 is 397.
Is a positive number less or more?
a positive number is more, not less.
How many positive square numbers less than 50?
positive square numbers less than 50 are 7 these are : 1,4,9,16,25,36,49.These are less than 50.
Can the sum of squared deviation have a value of less than zero?
No. The square of a number is always positive, so the sum of several of them must also be positive.
Is a negative greater or less than a positive number?
A negative number is less than a positive number. Think about it this way: a negative number is less than 0. A positive number is greater than 0. Therefore, a negative number must be less than a positive number.
How many Positive integers less than 1000 are multiples of 11 whose square roots are whole numbers?
To have a whole number square root, the number is a perfect square. Thus the numbers will be the squares of multiples of 11. Thus the first number will be (1×11) × (1×11) = 11² = 121 The next candidate will be (2×11) × (2×11) = 22² = 484 The next possible candidate will be (3×11) × (3×11) = 33² = 1089 which is too large. Thus there are two multiples of 11 less than 1000 whose square roots are whole numbers, namely 121 (11²) and 484 (22²)
The square root of a number x is always less than x?
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.
When the square root of one number is subtracted from the square root of another the difference is 1 less than the square of 9?
Try the square roots of 1 and 6561, which are 1 and 81. Their difference is 80 which is one less than 81. And that is the square of 9. In fact this works whenevr the first of the two numbers is a square number. So the purpose of the question is not clear.
What is a negative square root?
The square root of a number x is one that, when multiplied by itself gives the value x. So if y * y = x then y is the square root of x. But, (-y)*(-y) also equals x. So -y is also a square root of x. Thus, given any positive number, x, there are two numbers, y and -y whose square is x. So both of them are square roots of x. One of y and -y must be greater than 0 and the other must be less than 0. The one that is less than 0 is the negative square root. As an example, 4 * 4 = 16 and (-4) * (-4) = 16 so both, 4 and -4 are square roots of 16. -4 is the negative square root while 4 is the positive square root (also called the principal square root).
When adding a positive number and a negative numbers the sum going to be greater than or less than the positive number?
The sum is less than the positive number. Example: 16 + -3= 13. As you can see 13 is less than 16 so the sum is less than the positive number.
What happens when you multiply a positive number by a positive number less then one?
It decreases.
