Q: How are square roots and perfect squares related?

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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

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.

They are not.

perfect squares

No. The square roots of perfect squares are rational.

They are the perfect squares.

All numbers are important.

perfect squares

Large perfect squares.

perfect squares

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.

They are perfect squares.

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They are called perfect squares.

Integral square roots are multiplied by themselves.

Very rarely. Square roots are only whole numbers for perfect squares.

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.

169 and 196 are perfect squares. Their square roots are 13 and 14 respectively. The perfect squares from 1^2 to 16^2 are: 1,4, 9, 16, 25, 36, 49, 64, 81, 100, 144, 169, 196, 225, 256. It is useful to memorize the perfect squares, as it makes estimating square roots easier. In case you wanted to find the square root of 169,196, the answer is roughly 411.334414... The square roots of integers which are not perfect squares are irrational, so they can not be expressed exactly as a sequence of digits.

There is no simple way to find square roots in your head. You may be able to do it for a small number of perfect squares but that is about it.

There is no specific name but they comprise the set of non-negative numbers other than perfect squares.

Irrational. All square roots of rational numbers are irrational, except perfect squares.

With square roots if you have a number times itself or squared then that that product is that numbers square root example: 9x9= 81 81 square root is 9

All their roots are whole numbers.

All numbers have square roots. You may have meant which factors of 40 are perfect squares. That's 1 and 4.

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