Basics of Square Roots
Learn what square roots are and how to work them out, like and . Let’s get started! 🚀
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🛎️ What Is a Square Root?
- A square root of a number is a non-negative number that multiplies by itself to give the original number.
- For example, because .
🛎️ Important Rules About Square Roots
- Square roots are non-negative, so .
- Negative numbers do not have square roots because no number squared is negative.
🛎️ Practising Square Roots
- , , and .
- Always check by squaring your answer to see if you get the original number.
🛎️ Perfect Squares to Remember
- Perfect squares are numbers made by squaring whole numbers like .
- Knowing these helps you find square roots quickly in exams.
Practice Questions
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What is ?
Correct! 🎉 +10 pointsNot quite right
The square root of 9 is 3 because 3 squared equals 9. Remember, the square root is always non-negative.
What is ?
Correct! 🎉 +10 pointsNot quite right
The square root of 25 is 5 because 5 squared equals 25. Remember, the square root is always non-negative.
What is ?
Correct! 🎉 +20 pointsNot quite right
The square root of 0 is 0 because 0 squared equals 0.
What is ?
Correct! 🎉 +20 pointsNot quite right
The square root of a negative number is undefined in the real number system. Square roots are only defined for non-negative numbers.
What is ?
Correct! 🎉 +20 pointsNot quite right
The square root of 81 is 9 because 9 squared equals 81. Square roots are always non-negative.
What is ?
Correct! 🎉 +30 pointsNot quite right
The square root of 144 is 12 because 12 squared equals 144. Remember, square roots are always non-negative.
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