Question

What is the product of 1010 and 9\sqrt{72} ​ in simplest radical form?

Answer 1

Answer:

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Square Root of 72 in Simplest Radical Form

Simplest Radical Form

Here we answer "What is the square root of 72 (√72) in simplest radical form?" The square root of 72 in its simplest form means to get the number 72 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 72 like this:

√72

The largest perfect square of the factors of 72 is 36. We can therefore convert √72 like this:

√36 × 2

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

√36 × √2

√36 is a perfect square that equals 6. We can therefore put 6 outside the radical and get the final answer to square root of 72 in simplest radical form as follows:

6√2