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What is perfect square and perfect cube?
The square root of a perfect square and the cube root of a perfect cube is always an integer. A perfect square is a number multiplied by itself. A perfect cube is a number multiplied by itself twice. Example: 3 x 3 is 9, the square of 3 3 x 3 x 3 is 27, the cube of 3
What is the smallest number that 360 needs to be multiplied by to get a perfect square?
To find the smallest number that 360 needs to be multiplied by to get a perfect square, we first factorize 360 into its prime factors: 2^3 * 3^2 * 5. To make it a perfect square, we need to pair up these factors. Since 2 and 5 are not paired, the smallest number we need to multiply 360 by is 5, making it 1800 (2^3 * 3^2 * 5^2), which is a perfect square.
What does it mean to square?
It means to multiply it by itself. For example to square 3 you multiply 3 by 3 to get the answer 9. Square 4 and you get 16, square 5 and you get 25.
A perfect square is a number that has an integer square root.?
A perfect square is indeed a number that can be expressed as the square of an integer. For example, numbers like 1, 4, 9, and 16 are perfect squares, corresponding to the squares of 1, 2, 3, and 4 respectively. The square root of a perfect square is always an integer, making it distinct from non-perfect squares, which have non-integer square roots.
Is 3 a perfect square?
No. to be a perfect square, you have to be able to square root it and get a whole number (NOT a decimal) the square root of 3 is 1.732. (1.7322 = 3) a perfect square is a number like 4 the square root of four is 2 (22 = 4)
When x is a perfect square what is true about the cube of x?
When ( x ) is a perfect square, it can be expressed as ( x = n^2 ) for some integer ( n ). The cube of ( x ) is then ( x^3 = (n^2)^3 = n^6 ). Since ( n^6 ) is also a perfect square (as ( n^6 = (n^3)^2 )), it follows that the cube of any perfect square is itself a perfect square. Thus, when ( x ) is a perfect square, ( x^3 ) is also a perfect square.
Is there a perfect square of 3?
no
Is 9 a perfect square?
Yes, nine is a perfect squarebecause 9 = 3*3
What is the smallest positive number that you can multiply by 2016 to make a perfect square?
To make 2016 a perfect square, we first find its prime factorization: (2016 = 2^5 \times 3^2 \times 7^1). For a number to be a perfect square, all prime factors must have even exponents. The exponents of 2 and 7 are odd, so we need to multiply by (2^1) and (7^1). Therefore, the smallest positive number to multiply by 2016 is (2 \times 7 = 14).
What are perfect square?
A perfect square is a rational number that is the square of another rational number. 9, 16, 25, etc., are perfect squares of 3, 4, 5, etc., and X2 + 6X + 9 is a perfect square of (X + 3).
Why isn't 28 a square number?
28 is not a perfect square. A perfect square is an integer that is the square of another integer. 9 is a perfect square; it equal to 3 squared, or 3 X 3. Often, such numbers are called simply square numbers. While 28 is not a perfect square, it is a square number in the sense that it has a square root. by definition, the square root of 28 times itself equals 28.
Why is square root of 9 a rational number and square root of 3 is an irrational number?
Because 9 is a perfect square - which means that its square root is an integer. 3 is not a perfect square.
