Question

What is `sqrt300` rounded to the nearest ten?

Answer 1

The square root of `sqrt(300)` is `10` `sqrt(3)` or 20 (rounded to the nearest tenth).

Explanation:

So to simplify `sqrt(300)`, we need to think of numbers that not only multiply to 300 but are perfect square so we can take a number outside of the house (also known as the radical sign). So 100 and 3 do work as a combination because we can take out 10 out of the radical sign. So let do that.

• `sqrt(300)` - Rewriting the original number in the house
• `sqrt(100*3)` - Replacing 300 with numbers that multiply to 300 but one of them is a perfect square
• `10` `sqrt(3)` - Taken a 10 outside of the house and leave 3 inside the house as it is not a perfect square.

So the final answer to this is `10` `sqrt(3)` but since you ask to round to the nearest ten, the decimal value would be: 17.32050807. Rounding that would be 20.