Find the perfect squares that your number lies between. Your square root will lie between their square roots. Whichever it is closer to will indicate the size of the decimal.
A perfect square is the square of an integer, i.e., an integer multiplied by itself. For example, 25 is a perfect square, because 5 x 5 = 25. But, in literal mathematical terms, a perfect number is a positive integer that is the sum of its proper positive divisors, excluding the number itself. A square number is also called a "perfect square", so an example of a square number is above. So, a perfect square number would have to be a number that is both perfect and square, and there are yet to be any of these numbers "discovered".
2.25
As nobody has yet managed to fully define pi, we cannot come up with a square root for it. For most textbooks the value of pi is usually approximated to 3.1416. The square root of that is 1.772455923288362, and you may round that off to whatever number of decimal places you require.
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.
i x 2 x the square root of 3 or approximately 3.46i.i is the square root of negative -1. It is what mathematicians call an imaginary number. Even though they use an unfortunate name like "imaginary" it is not imaginary in the same sense that unicorns and fairies are. If you have not covered imaginary numbers in your grade yet, tell your teacher that there is no answer in the real number system.
Multiply the square root by itself. After you do that, please discuss the idea of square roots with somebody who knows. You don't understand them yet.
A perfect square is the square of an integer, i.e., an integer multiplied by itself. For example, 25 is a perfect square, because 5 x 5 = 25. But, in literal mathematical terms, a perfect number is a positive integer that is the sum of its proper positive divisors, excluding the number itself. A square number is also called a "perfect square", so an example of a square number is above. So, a perfect square number would have to be a number that is both perfect and square, and there are yet to be any of these numbers "discovered".
2.25
As nobody has yet managed to fully define pi, we cannot come up with a square root for it. For most textbooks the value of pi is usually approximated to 3.1416. The square root of that is 1.772455923288362, and you may round that off to whatever number of decimal places you require.
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.
i x 2 x the square root of 3 or approximately 3.46i.i is the square root of negative -1. It is what mathematicians call an imaginary number. Even though they use an unfortunate name like "imaginary" it is not imaginary in the same sense that unicorns and fairies are. If you have not covered imaginary numbers in your grade yet, tell your teacher that there is no answer in the real number system.
-4 can be written as 4 x -1, therefore the root can be broken up as root(-4) = root(4) x root(-1) If you haven't done maths to this level yet, you may not have seen this, but the Mathematician Gauss introduced the idea of complex numbers and their representation to solve an age-old problem of the square root of negative numbers. He brought in a new notation: root(-1) = i (Some engineers like to use j instead of i as i often represents electrical current) Since root(4) = -2 or 2, root(-4) = 2i or -2i (written as ±2i)
162.0529
The square root of a triangle is not a mathematical operation or concept. In geometry, the square root typically refers to finding the side length of a square that has the same area as a given square. Triangles do not have square roots in the same sense as squares do. Triangles have square roots only in the context of trigonometric functions, where the square of the sine or cosine of an angle in a right triangle can be related to the square of the lengths of the sides.
This depends on whether you include imaginary numbers. The imaginary unit i is defined such that i² = -1. So the square root of -1 will be either i or -i. So the answer is there are 2 square roots for any number. Now if you are at a level of mathematics, which does not yet consider i, then the answer is you cannot take the square root of a negative.
The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.
Assuming you are not yet into complex numbers, the answer is: some number between 0 and 3 (but not including 3).