Question

Simplify the following surd undar root 250

Answer 1

Step-by-step explanation:

250 is split into its prime factors as 2 * 5 * 5 * 5 which implies √250 = √(2 * 5 * 5 * 5). Now we can simplify this further by pulling out the number which is multiplied to itself. This gives √250 = 5 * √(2 * 5) = 5√10. Therefore the square root of 250 is √250 = 5√10.

Answer 2

$\sqrt{250} \\ \\ = \sqrt{5 \times 5 \times 5 \times 2} \\ \\ = \sqrt{25 \times 10} \\ \\ = \green{ \boxed{5 \sqrt{10}}}$