What is the Square Root of 8978 in Simplest Radical Form?

Square Root of 8978 in Simplest Radical Form

Here we answer "What is the square root of 8978 (√8978) in simplest radical form?" The square root of 8978 in its simplest form means to get the number 8978 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 8978 like this:

√8978

The largest perfect square of the factors of 8978 is 4489. We can therefore convert √8978 like this:

√4489 × 2

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

√4489 × √2

√4489 is a perfect square that equals 67. We can therefore put 67 outside the radical and get the final answer to square root of 8978 in simplest radical form as follows:

67√2

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