Question

Which of the following is equal to √500? 5010√5010√550√105√10

Answer 1

You can use the product property of square roots:

`\sqrt[]{a\cdot b}=\sqrt[]{a}\cdot\sqrt[]{b}`

Also, you can express 500 as the product of 100*5, then

`\begin{gathered} \sqrt[]{500}=\sqrt[]{100\cdot5}\text{ appling the product property} \\ \sqrt[]{100\cdot5}=\sqrt[]{100}\cdot\sqrt[]{5}\text{ and the square root of 100 is 10, then} \\ \sqrt[]{100}\cdot\sqrt[]{5}=10\cdot\sqrt[]{5} \end{gathered}`

The answer is 10√5