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CLASS 9 · LEARNING KNOWLEDGE

Square Roots and Real Numbers

How it works

The square root √a denotes the nonnegative number whose square is a. In the real number domain, a must satisfy a≥0. When simplifying, quadratic factors can be extracted from the root.

Note
√(a·b)=√a·√b for a,b≥0; √(x²)=|x|.

An example

Calculate √36. Give only the requested number.

The nonnegative number with square 36 is 6. Result: 6.

Try it yourself now

50 Exercises · three difficulty levels · selection and number input

To the learning unit →

Own explanation and own practice exercises by AmyMath. Subject reference framework: KMK Educational Standards Mathematics ESA/MSA. The topic assignment may vary by federal state.