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Q: What is the difference between square roots and a perfect square?

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Perfect square roots are square roots that have a whole number that can go into it perfectly. Nonperfect square roots are square roots that have decimal numbers going into it. Example: Perfect Square Root: 144- Square Root: 12 Nonperfect Square Root: 24- Square Root: About 4.89

The square roots of perfect squares are the numbers that when squared create perfect squares as for example 36 is a perfect square and its square root is 6 which when squared is 36

The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.

300

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.

perfect square

Perfect square roots are the counting numbers {1, 2, 3, ...} The squares of the perfect square roots are the perfect squares, namely 1² = 1, 2² = 4, 3² = 9, etc.

You cannot conclude anything.2.25 is not a perfect square but its square roots are +/- 1.5 so it is perfectly possible for a number which is not a perfect square to have a rational square roots.

No. The square roots of perfect squares are rational.

If X is the square of Y then Y is a square root of X. But, -Y is also a square root.

It is a perfect square.

a perfect square

4.123105617661 is in between 4 and 5. Therefore it is between the square root of 16 (which is 4) and the square root of 25 (which is 5)

If the determinant of the quadratic (ax² + bc + c) as worked out by b² - 4ac is a perfect square or not. If the determinant is not a perfect square then the roots are irrational.

There is no perfect square number between 1 and 4. On the other hand, every number is a square - or its square roots.

16 and 25 42 and 52

There are two square roots of a perfect square: a positive number and the same number as a negative number. The square root of a perfect square will always be an integer.

a perfect square

Perfect Square

Such a number is called a "perfect square".

It is a perfect square.

They are not.

perfect squares

A perfect square other than 0.

The positive square root of 115 lies between the positive square roots of 114 and 116.The positive square root of 115 lies between the positive square roots of 114 and 116.The positive square root of 115 lies between the positive square roots of 114 and 116.The positive square root of 115 lies between the positive square roots of 114 and 116.