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

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โˆ™ 2013-05-19 21:56:19
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Q: How are square roots and perfect squares related?
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What is the relationship between square roots and perfect squares?

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


What are examples of perfect square roots?

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.


How are square roots and perfect squares the same?

They are not.


What has integer's as square roots?

perfect squares


Are all square roots are irrational numbers?

No. The square roots of perfect squares are rational.


What types of numbers have whole number square roots?

They are the perfect squares.


Why are square roots and perfect squares important?

All numbers are important.


What are numbers with with square roots that are a whole number called?

perfect squares


What is a number that has large integers as its square roots?

Large perfect squares.


Numbers whose square roots are integers are called?

perfect squares


What can you conclude about the square roots of numbers that are not 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.


What is a rational numbers whose square roots are whole numbers?

They are perfect squares.


What are the first fifteen perfect squares and their square roots?

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Are square roots multiples that are multiplied to form perfect squares?

It's True, I have the same homework


What are numbers with square roots that are whole numbers?

They are called perfect squares.


What mathematical factors are multiplied to form perfect squares?

Integral square roots are multiplied by themselves.


Is square root are whole numbers?

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


How do you estimate a square root that is not a perfect square yet?

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.


What is the square root of 169 196?

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.


How do you find the square root in your head?

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.


What are numbers called that have square roots but are not a square number?

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


Is the square root of 32 a rational number or an irrational number?

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


What are the rules for squares and squares roots?

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


What do the perfect squares have in common?

All their roots are whole numbers.


What number has a square root that is a factor for the product 40?

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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