What is the Square Root of 1500 in Simplest Radical Form?

Square Root of 1500 in Simplest Radical Form

Here we answer "What is the square root of 1500 (√1500) in simplest radical form?" The square root of 1500 in its simplest form means to get the number 1500 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 1500 like this:

√1500

The largest perfect square of the factors of 1500 is 100. We can therefore convert √1500 like this:

√100 × 15

Next, we separate the numbers inside the √ as such:

√100 × √15

√100 is a perfect square that equals 10. We can therefore put 10 outside the radical and get the final answer to square root of 1500 in simplest radical form as follows:

10√15

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