What is the Square Root of 1540 in Simplest Radical Form?

Square Root of 1540 in Simplest Radical Form

Here we answer "What is the square root of 1540 (√1540) in simplest radical form?" The square root of 1540 in its simplest form means to get the number 1540 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 1540 like this:

√1540

The largest perfect square of the factors of 1540 is 4. We can therefore convert √1540 like this:

√4 × 385

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

√4 × √385

√4 is a perfect square that equals 2. We can therefore put 2 outside the radical and get the final answer to square root of 1540 in simplest radical form as follows:

2√385

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