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Maths dictionary

What is a square root?

The square root of a number is the number that, multiplied by itself, gives it. It is the opposite of squaring.

Definition

The square root of a number is the number that, multiplied by itself, gives it. It is the opposite of squaring.

Example

The square root of 49 is 7 because 7 × 7 = 49. We write √49 = 7.

Tip

Learn the squares up to 15 × 15 to spot square roots quickly.

Practise it

Quick check: try these

Work each one out on paper, then tap the question to see the answer.

  1. √225 =

    Answer: 15

  2. √324 =

    Answer: 18

  3. √16 =

    Answer: 4

  4. √169 =

    Answer: 13

Learn it in depth

Square root is part of Squares and Square Roots for Class 8: notes, formulas, solved examples with every step, common mistakes and ten practice questions with answers. Want a teacher to go through it with you? See Class 8 maths tuition.

Related words

Square number, Pythagorean theorem

FAQ

Square root: questions

What is a square root?

The square root of a number is the number that, multiplied by itself, gives it. It is the opposite of squaring. The square root of 49 is 7 because 7 × 7 = 49. We write √49 = 7.

What is a common mistake with square root?

Learn the squares up to 15 × 15 to spot square roots quickly.

Where do students learn square root?

Squares and Square Roots is usually taught in Class 8, and the ideas come back in later classes. Chapter names and order differ by board and textbook, so follow your own textbook. We have a full page with notes, solved examples and practice questions.

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