(co relation) 15 square is equal to 225 then 1.5 square is equal to ______
Answers
Answer:
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Plot of y = 3√x. The plot is symmetric with respect to origin, as it is an odd function. At x = 0 this graph has a vertical tangent.
A unit cube (side = 1) and a cube with twice the volume (side = 3√2 = 1.2599... OEIS: A002580).
In mathematics, a cube root of a number x is a number y such that y3 = x. All nonzero real numbers, have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of 8, denoted 3√8, is 2, because 23 = 8, while the other cube roots of 8 are −1 + √3i and −1 − √3i. The three cube roots of −27i are
{\displaystyle 3i,\quad {\frac {3{\sqrt {3}}}{2}}-{\frac {3}{2}}i,\quad {\text{and}}\quad -{\frac {3{\sqrt {3}}}{2}}-{\frac {3}{2}}i.} 3i,\quad {\frac {3{\sqrt {3}}}{2}}-{\frac {3}{2}}i,\quad {\text{and}}\quad -{\frac {3{\sqrt {3}}}{2}}-{\frac {3}{2}}i.
The cube root operation is not distributive with addition or subtraction.
In some contexts, particularly when the number whose cube root is to be taken is a real number, one of the cube roots (in this particular case the real one) is referred to as the principal cube root, denoted with the radical sign 3√. The cube root operation is associative with exponentiation and distributive with multiplication and division if considering only real numbers, but not always if considering complex numbers: for example, the cube of any cube root of 8 is 8, but the three cube roots of 83 are 8, −4 + 4i√3, and −4 − 4i√3.
Contents
1 Formal definition
2 Properties
2.1 Real numbers
2.2 Complex numbers
3 Impossibility of compass-and-straightedge construction
4 Numerical methods
5 Appearance in solutions of third and fourth degree equations
6 History
7 See also
8 References
9 External links
Formal definition
The cube roots of a number x are the numbers y which satisfy the equation
{\displaystyle y^{3}=x.\ } y^{3}=x.\
Properties
Real numbers
For any real number x, there is one real number y such that y3 = x. The cube function is increasing, so does not give the same result for two different inputs, plus it covers all real numbers. In other words, it is a bijection, or one-to-one. Then we can define an inverse function that is also one-to-one. For real numbers, we can define a unique cube root of all real numbers. If this definition is used, the cube root of a negative number is a negative number.
The three cube roots of 1
If x and y are allowed to be complex, then there are three solutions (if x is non-zero) and so x has three cube roots. A real number has one real cube root and two further cube roots which form a complex conjugate pair. For instance, the cube roots of 1 are:
Answer:
15 square is equal to 225 then 1.5 square is equal to 2.25
Step-by-step explanation:
In 1.5 there is one point when we do the square there are two points(1.5 × 1.5) so, the point will we after tense place from the last.
Hope it helps.