# Square Root Squabble

## A real number squared multiplied by its square root is equal to the number multiplied by the square root of its cube!

__Examples:__

4^{2} × 4^½ = 16 × 2 = 32

4 × (4^{3})^½ = 4 × 64^½ = 4 × 8 = 32

9^{2} × 9^½ = 81 × 3 = 243

9 × (9^{3})^½ = 9 × 729^½ = 9 × 27 = 243

25^{2} × 25^½ = 625 × 5 = 3,125

25 × (25^{3})^½ = 25 × 15,625^½ = 25 × 125 = 3,125

The **caret** (^) is the symbol of exponentiation. Raising a number to the power of ½ gives you the square root.

## This math trick also works with some complex numbers, but not pure imaginary numbers.

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© Derek Cumberbatch