simplify 7√99
We can't simplify the square root of 99 because it is not a perfect square. Therefore, the simplified form of 7√99 is just 7√99.
To simplify 7√99, we need to find the largest perfect square that can be factored out of 99.
The largest perfect square that can be factored out of 99 is 9, which is 3^2.
Therefore, we can write 99 as 9 * 11.
Now, we can simplify 7√99 as 7 * √(9 * 11).
Simplifying further, we get 7 * √9 * √11.
Since √9 is 3, the simplified form is 7 * 3 * √11.
Finally, multiplying 7 and 3, we get the simplified expression as 21√11.
So, 7√99 simplifies to 21√11.
To simplify 7√99, we need to find the largest perfect square that divides 99. In this case, the largest perfect square is 9, which is obtained from 3^2.
Now, we can rewrite 7√99 as 7√(9 × 11). Using the property of square roots, we can separate the square root into two separate square roots:
7√(9 × 11) = 7√9 √11
Since √9 is equal to 3, we can simplify further:
7√(9 × 11) = 7 × 3 √11
Finally, we can multiply 7 and 3 to get the simplified answer:
7√99 = 21√11
Therefore, 7√99 simplifies to 21√11.