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How many numbers from 1976 to 2013 are perfect square numbers?
None. √1976 is "44 and a bit" → first perfect square ≥ 1976 is 452 = 2025 As 1976 is not a perfect square and the first perfect square greater than 1976 is 2025, and 2025 is greater than 2013, there are no perfect squares from 1976 to 2013.
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.
Is the square root of 11 over 6 an irrational number?
Yes. The square root of a fraction is the square root of the numerator over the square root of the denominator. First simplify the fraction (making mixed numbers into improper fractions). Now consider the numerator and denominator separately as whole numbers. Only perfect squares (the squares of whole numbers) have rational square roots. If either, or both, of the numerator and denominator is not a perfect square, the square root of the fraction will be irrational √(11/6) = (√11)/(√6). Neither 11 nor 6 is a perfect square, thus √(11/6) is irrational.
What are numbers that are considered as perfect square?
Numbers that are considered perfect squares are integers that can be expressed as the product of an integer with itself. For example, 4, 9, and 16 are perfect squares because they are the square of 2, 3, and 4, respectively.
What is the first perfect square after 1000?
1024
How many numbers from 1976 to 2013 are perfect square numbers?
None. √1976 is "44 and a bit" → first perfect square ≥ 1976 is 452 = 2025 As 1976 is not a perfect square and the first perfect square greater than 1976 is 2025, and 2025 is greater than 2013, there are no perfect squares from 1976 to 2013.
How many square numbers are factors of 1600?
To find the square numbers that are factors of 1600, we first need to find the prime factorization of 1600, which is 2^6 * 5^2. A square number is a number that can be expressed as the square of an integer. In this case, the factors of 1600 that are square numbers are 1, 4, 16, 25, 64, 100, and 400. Therefore, there are 7 square numbers that are factors of 1600.
How many three digit positive integers are square numbers?
102 = 100 which is the first possible three digit number that is a perfect square. 312 = 961 which is the last possible three digit number that is a perfect square. So there are 22 three digit positive numbers that are perfect squares.
Square numbers between 1000 and 2000?
The squares of the numbers 32, 33, 34,...,44 the square of the first number 32 is 1024 the square of the last number 44 is 1936
What are the first 10 square numbers?
All numbers are square numbers, for example, the square root of 2 squared is 2. If you mean perfect squares, here's a list: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
What numbers are perfect?
6, 28, 496 and 8128 are the first four Perfect numbers.
What is the smallest negative perfect square that is divisible by the four smallest prime numbers?
Perfect squares are positive. A smallest negative number doesn't exist. The four smallest prime numbers are 2, 3, 5 and 7. The smallest perfect square would have to be 2^2 x 3^2 x 5^2 x 7^2 or 44,100
What are the first ten perfect square numbers?
1; 4; 9; 16; 25; 36; 49; 64; 81; 100
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.
Is the square root of 11 over 6 an irrational number?
Yes. The square root of a fraction is the square root of the numerator over the square root of the denominator. First simplify the fraction (making mixed numbers into improper fractions). Now consider the numerator and denominator separately as whole numbers. Only perfect squares (the squares of whole numbers) have rational square roots. If either, or both, of the numerator and denominator is not a perfect square, the square root of the fraction will be irrational √(11/6) = (√11)/(√6). Neither 11 nor 6 is a perfect square, thus √(11/6) is irrational.
Are any of the numbers from 2 to 5 perfect?
No. The first two "perfect numbers" are 6 and 28.
What are some other perfect numbers?
Other than what? The first perfect numbers are 6 and 28.
