7√99 simplified
The simplified form of 7√99 is 21√11.
To simplify √99, we can break it down into its prime factorization.
Step 1: Find the prime factors of 99.
99 can be written as 3 * 3 * 11.
Step 2: Simplify the square root.
√99 can be simplified as √(3 * 3 * 11).
Taking out the square root of the perfect squares, we get:
√(3 * 3) * √11.
This simplifies to:
3√11.
Therefore, 7√99 simplified is 7 * 3√11, which simplifies further as 21√11.
To simplify the expression 7√99, we need to find the simplified radical form.
First, we can simplify the square root of 99 by breaking it down into its prime factors. 99 can be written as 9 * 11.
Next, we can simplify the square root of 9 to 3 because 3 * 3 = 9.
Therefore, the expression 7√99 can be simplified as 7 * 3√11.
So, the simplified form of 7√99 is 21√11.