Square Roots

How to play Square Roots

1. Find the exact square root of a perfect square.
2. Read the prompt carefully and choose an answer, or type into the answer field.
3. After checking, read the explanation. Use “Next round” to continue.
4. Complete ten rounds for a score out of 100. Restart creates a fresh session.

A worked example

Find the square root. √144

the answer is 12. 12 × 12 = 144.

Work backward from a perfect square

For 49, look for the positive number that multiplies by itself to give 49: 7. These rounds use perfect squares, so a calculator approximation is unnecessary. Squaring and square roots are inverse operations, with different starting information.

Practice building squares from their starting numbers

A useful way to practice

Work out a rough answer before checking the options. If a result surprises you, use the explanation to identify the step you missed. Accuracy is more useful than rushing through a rule you have not understood.

What your result means

This is a recreational numbers activity. Results describe performance on this particular task, with this device and these rules. They are not a clinical assessment, IQ score or promise of improvements in daily life. Your best result and recent sessions stay in this browser; no account is required.