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Powers and rootsRoots

A power is a way of writing a number that is multiplied by itself. A root is the opposite of this. It is a way of writing a number that can be divided into another number multiplied by itself.

Part of MathsPowers and roots

Roots

A root is the opposite of a power. The root of a number is another number that can be multiplied by itself to get the first number.

As 2 squared is 4, then a square root of 4 must be 2:

\(2^2 = 4\). Reversing this gives \(\sqrt{4} = 2\).

To find square roots or cube roots, work backwards from square numbers and cube numbers. If you know that \(15^2= 225\), then you also know that \(\sqrt{225} = 15\). If you know that \(5^3 = 125\) then you also know that \(\sqrt[3]{125} = 5\).