Square Roots

By Dbasics Educational Enhancement Services

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How well do you understand ‘Square Roots’?

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When you square a number, you multiply the number by itself.

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You ask: “What number when multiplied by itself will give me this number?”

For example, you try to figure it out: “What is the square root of 25?” Then you would ask yourself “What number multiplied by itself will give me 25?”

Understanding

The

Components

of the radical sign

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The Radical Symbol [Sign]

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• You write a square root by putting it under the radical sign.

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• When you see a radical sign, you take the square root of the number under it.

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• The word ‘radical’ is derived from the Latin word rad, which means root.

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Understanding

The

Components

of the radical sign

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The Radicand

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• The number inside or underneath the radical symbol is called the radicand.

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• The number 5 represents the radicand.

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• The root is always calculated for the radicand.

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Understanding

The

Components

of the radical sign

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The Root

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• The red number 2 inside the v part of the radical sign is called the index.

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• Different roots of numbers exist.

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• The number 2 represents the index of the square root; but it is common to see just the radical sign representing the square root of a number.

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Perfect Square Roots

Learn �them!!!

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A Perfect Square

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A perfect square is a number that can be expressed as the product of two equal numbers or factors.

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Respective Representation

The following are perfect squares:

1, 4, 9, 16, 25

Because they can be represented by

1 x 1, 2 x 2, 3 x 3, 4 x 4, and 5 x 5

respectively.

Perfect square roots have...

• Two equal factors
• A positive and a negative square root
• When the answer is written without a sign in front of it it is considered the positive square root.
• When the answer is written with the negative sign in front of it, it is considered the negative square root.

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For example:

Conclusion

Can you solve these square root problems?

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