A square number is the result of multiplying a number by itself.
Q: Complete the table below to find the squares of numbers from 1 to 10.
Q: Write the square roots here:
Ans:
A cube number is the result of multiplying a number by itself three times.
Q: Fill in the table below to find the cubes of numbers from 1 to 5.
Write the cube root of each number:
Ans:
Trick: To square a number ending in 5, multiply the first digit by the next digit and then write "25" at the end.
Example: 25 × 25 → 2 × 3 = 6 → Answer = 625
Now try:
Ans:
1. What number times itself is 25? (Square root of 25)
Ans: 5
Pair 25 as 25. Last digit is 5, so it’s 5 (5 × 5 = 25).
2. What number times itself 3 times is 8? (Cube root of 8)
Ans: 2
Try 2: 2 × 2 = 4, 4 × 2 = 8. It fits! So, it’s 2.
3. What number times itself is 64? (Square root of 64)
Ans: 8
Pair 64 as 64. Last digit is 4, so it could be 2 (2 × 2 = 4) or 8 (8 × 8 = 64). Since it’s 64, it’s 8.
4. What number times itself 3 times is 27? (Cube root of 27)
Ans: 3
Try 3: 3 × 3 = 9, 9 × 3 = 27. It fits! So, it’s 3.
5. You have 64 blocks in a cube shape. How many blocks on each side? (Cube root of 64)
Ans: 4
Try 4: 4 × 4 = 16, 16 × 4 = 64. It fits! So, each side has 4 blocks.
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1. What are the basic steps to square a number? | ![]() |
2. How do you find the cube of a number? | ![]() |
3. What is the difference between square roots and cube roots? | ![]() |
4. How do you calculate the square root of a number? | ![]() |
5. Can all numbers have real square roots and cube roots? | ![]() |