write the following square root in the aVb , where a and b are integers and b has the least value possible.

V63?

√63 = √9 √7

= 3√7

To express the square root of 63 in the form a√b, where a and b are integers and b has the least possible value, we first need to simplify the square root of 63.

We start by finding the prime factorization of 63, which is 3 × 3 × 7.

Now, let's simplify the square root of 63 using these prime factors:
√63 = √(3 × 3 × 7) = √(3² × 7)

Using the property of square roots (√(ab) = √a × √b), we can rewrite this as:
√(3² × 7) = √3² × √7 = 3√7

Therefore, √63 can be expressed as 3√7 in the a√b form, where a = 3 and b = 7.

So, the answer is: √63 = 3√7