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What do you call a number with integer square roots?
a perfect square
What has integer's as square roots?
perfect squares
What is a number with a square roots that are whole numbers?
A number with square roots that are whole numbers is called a perfect square. Examples include 1 (with square roots of ±1), 4 (with square roots of ±2), and 9 (with square roots of ±3). In general, any integer that can be expressed as the product of an integer multiplied by itself is a perfect square.
Are square roots of positive integers rational?
Only if the integer is a perfect square.
How are square roots and perfect squares related?
The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.
Can integers be square roots?
Of course they can. Every integer greater than zero is a square root.
Is the square root of 100 considered an integer?
The square roots of 100 are +10 and -10 . They're both integers.
Is the number 120 a square number?
120 is not the square of an integer, its square roots, rounded to two decimal places, are ±10.95.
Is the square root of 170 a rational number?
No. The only square roots of integers that are rational numbers only when the integer is a perfect square.
What has integers of its square roots?
The integers of its square roots refer to perfect squares, which are numbers that can be expressed as the square of an integer. For example, 0, 1, 4, 9, 16, and 25 are perfect squares because their square roots (0, 1, 2, 3, 4, and 5, respectively) are whole numbers. In general, a perfect square can be represented as ( n^2 ), where ( n ) is an integer.
What are the square roots of 150?
There are two distinct roots of any positive integer, the absolute value and its negative equivalent. Therefore, the square roots of 150, rounded to two decimal places, are ±12.25.
How does finding cube root differ from finding a square root of a positive integer?
Finding the square root of a positive integer involves identifying a number that, when multiplied by itself, equals the original integer, resulting in one non-negative solution. In contrast, finding the cube root of a positive integer determines a number that, when multiplied by itself twice (i.e., raised to the power of three), equals the original integer, yielding one real solution. The key difference lies in the operations involved: square roots deal with pairs of factors, while cube roots involve triplets. Additionally, cube roots can yield real solutions for negative integers, unlike square roots.
