Squares & square roots
Square numbers as real squares, and finding the side again.
Learn with Kutty
Go one screen at a time. Press Next when you are ready. Tap 🔊 Read to me to listen.
A square number makes a square of tiles. The square root is the side.
Look: 36 tiles in a 6 × 6 square.
✏️ Your turn!
Type your answer and press Check. Kutty will tell you if it is right.
1√144 = ?
215² = ?
3√81 = ?
! Careful!
✗√1764 = 1764 ÷ 2.
✓Square root is the number that times itself gives 1764.
✗Thinking 2,000 could be a square number.
✓Squares never end in 2, 3, 7 or 8, and 44² = 1,936, 45² = 2,025.
See the whole lesson on one page
A square number makes a square of tiles. The square root is the side.
5² = 5 × 5 = 25. Going back, √25 = 5. For big numbers, break into primes and pair them up: one from each pair goes into the root.
Think of it like this36 tiles make a 6 by 6 square floor. So 6 × 6 = 36, and the square root of 36 is 6.
- √
- Square root: the side of the square.
Solved together
Find √1764.
Break 1764 into primes.
2 × 2 × 3 × 3 × 7 × 7Make pairs. Take one from each pair.
(2 × 2)(3 × 3)(7 × 7)2 × 3 × 7 = 42
Answer√1764 = 42.
Now practise it
Kanakku makes new questions on squares & square roots every time. It shows the working and gives a hint when you are stuck.