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The square of number returns to its original value when square rooted as for example 3 squared is 9 and its square root is 3

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โˆ™ 2013-11-02 14:59:57
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Q: What are the relationship between squares and square roots?
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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

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.

Are all square roots are irrational numbers?

No. The square roots of perfect squares are rational.

Which two consecutive whole numbers does the square root of fifty five lie between?

Just check the squares of a few whole numbers. If 55 is between two of those squares, then its square root is also between the corresponding square roots.

How are square roots and perfect squares the same?

They are not.

What has integer's as square roots?

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

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 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.

What is the relationship between square numbers and square roots?

The square root is the area in which you take 1 length and you multiply that number times the same number and you have your square root. The square you put it on graph paper and you size is going to be 3x3 then you connect the dots and count how may squares you have and that is your answer.There is an inverse relationship. If one number is the square of another then the second number is the square root of the first number.

How many squares roots does 36 have?

6 is the square root of 36

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

Who invented squares and square roots?

The earliest documentation of who invented the square root was the Rhind Mathematical Papyrus which shows how the Egyptians extracted square roots around 1650 BC.

What numbers are the square root of 8 between?

It's between 2 and 3. You know this because the next two surrounding perfects squares are 4 and 9, which have square roots of 2 and 3 respectively.

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

They are perfect squares.

Are squares and square roots the same thing?

Of course not. 3 squared is 9, the square root of 9 is 3.

Why do you need to study squares and square roots?

It so happens that squares and square roots (as well as other powers and roots) frequently occur in different scientific problems - physics, for example. An engineer must know such things. (Engineerings is basically "applied science".) If you are not planning to work in an engineering field, you'll probably not use much square roots, or other advanced math.

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

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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.

Square root of 47 is between which two roots?

Between the roots 6 and 7.

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

It's True, I have the same homework