Question

Making use of the cub e root table, find the cube root s of the (correct to three decimal places)
7342

Answer 1

$3\sqrt{7342}=3\sqrt{73.42\times 100}=3\sqrt{73.42}\times 3\sqrt{100}Now3\sqrt{73}=4.179and3\sqrt{74}=4.198\therefore Differenceafter74-73=1=4.198-4.1750.019\therefore Differenceafter0.42=0.42\times 0.019=0.00798\therefore 3\sqrt{73.42}=4.179+0.00798=4.18698and3\sqrt{100}=4.642and3\sqrt{7342}=3\sqrt{73.42}\times 3\sqrt{100}=4.18698\times 4.642=19436$