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โˆš Square Roots & Real Numbers Lab

Where exactly does a square root sit
on the number line?

Change a number with the slider and check exactly what its square root equals, whether the radical can be simplified further, and where it lands on the number line.

A square root is "a number that, squared, gives you that number." A number whose square root is an integer (like โˆš4=2) is rational, but the square root of most numbers is an irrational number โ€” one whose decimal digits go on forever with no repeating pattern. Rational and irrational numbers together are called real numbers.

Number under the โˆš12
โˆš12 โ‰ˆ 3.464
Simplified: 2โˆš3

๐Ÿงฉ Size Comparison Quiz

Question 1/10 ยท 0 correct
The larger the number under the radical, the larger the square root (as long as both are positive). So to tell which of โˆša and โˆšb is larger, you don't even need to calculate โ€” just compare a and b.