Question

Which is equal to √1800 in simplest radical form

Answer 1

`\sf 30√(2)`

Explanation:

Prime factorize 1800

1800 = 18 * 100

= 3 * 3 * 2 * 2 *2 * 5 * 5

For each number pair inside the root, take one outside the radical.

`\sf √(1800)= √(3*3*2*2*2*5*5)`

`\sf = 3 * 2* 5*√(2)\\\\ = 30√(2)`