Simplify 7√99 .(1 point)
To simplify the expression 7√99, we first need to simplify the square root of 99.
To do this, we can break down 99 into its factors. One of the factors is 9 because 9 x 11 = 99. Since 9 is a perfect square, we can simplify it further.
Now, we can rewrite 99 as 9 x 11.
Taking the square root of 9, we get √9 = 3.
Therefore, 7√99 can be simplified as 7 x 3√11.
The simplified expression is 21√11.
To simplify \(7\sqrt{99}\), we start by finding the prime factorization of 99.
The factorization is: \(99 = 3 \times 3 \times 11\).
Now, we can rewrite \(7\sqrt{99}\) as \(7\sqrt{3 \times 3 \times 11}\).
Taking the square root of the perfect square factor (3):
\(7 \times 3 \sqrt{11}\)
Thus, the simplified form of \(7\sqrt{99}\) is \(21\sqrt{11}\).
To simplify the expression 7√99, we first need to determine the prime factors of 99:
99 = 3 * 3 * 11.
Since there is no perfect square factor, we cannot simplify the square root further. Therefore, 7√99 is already in its simplest form.