what is the irrational square root _/63 rewritten as the product of an integer and another irrational square root in simplest form

Answer 1

To rewrite √63 as the product of an integer and another irrational square root in simplest form, we need to find a perfect square that can be factored out of 63.

The largest perfect square that can be factored out of 63 is 9 because 9 * 7 = 63.

So, √63 = √(9 * 7)

Then, we can rewrite the square root as: √(9 * 7) = √9 * √7 = 3√7

Therefore, the irrational square root √63 can be rewritten as the product of an integer and another irrational square root in simplest form as 3√7.