Because a negative times a negative always equals a positive. For example, -2 times -2 equals 4.
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.
Well, sweetheart, there are 9 positive integers less than 1000 that are multiples of 11 and have whole number square roots. Those integers are 11, 44, 99, 176, 275, 396, 539, 704, and 891. Math doesn't have to be boring, darling!
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.
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.
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.
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.
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.
Prime numbers can't have whole number square roots, of course, but the largest prime number under 400 is 397.
a positive number is more, not less.
Well, sweetheart, there are 9 positive integers less than 1000 that are multiples of 11 and have whole number square roots. Those integers are 11, 44, 99, 176, 275, 396, 539, 704, and 891. Math doesn't have to be boring, darling!
positive square numbers less than 50 are 7 these are : 1,4,9,16,25,36,49.These are less than 50.
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.
No. The square of a number is always positive, so the sum of several of them must also be positive.
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.
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).
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.
It decreases.