simplify 7 * sqrt 99
7 * sqrt(99) can be simplified by finding the square root of 99 and then multiplying it by 7.
The square root of 99 is approximately 9.9499 (rounded to four decimal places).
Therefore, 7 * sqrt(99) simplifies to 7 * 9.9499.
Multiplying these values together yields the simplified answer of approximately 69.6493 (rounded to four decimal places).
Therefore, 7 * sqrt(99) = 69.6493 (approximately).
To simplify the expression 7 * sqrt(99), we can simplify the value inside the square root as follows:
sqrt(99) = sqrt(9 * 11)
Since 9 is a perfect square, we can simplify it further:
sqrt(9 * 11) = sqrt(9) * sqrt(11) = 3 * sqrt(11)
Therefore, 7 * sqrt(99) simplifies to:
7 * sqrt(99) = 7 * (3 * sqrt(11))
Multiplying 7 by 3 gives us:
7 * sqrt(99) = 21 * sqrt(11)
So, 7 * sqrt(99) simplifies to 21 * sqrt(11).
To simplify the expression 7 * sqrt(99), we can break it down into two parts: the coefficient (7) and the square root (√) of 99.
Step 1: Simplify the square root of 99
To simplify the square root of 99, we need to find the largest perfect square that is a factor of 99. In this case, the largest perfect square that divides evenly into 99 is 9 (3 * 3 = 9).
Step 2: Rewrite the square root using the perfect square
We can rewrite the square root of 99 as the square root of 9 times the square root of 11: √(9 * 11). The square root of 9 is 3, so we have 3 * √11.
Step 3: Calculate the final answer
Now that we have simplified the square root, we can multiply it by the coefficient of 7: 7 * (3 * √11). This simplifies to 21 * √11.
Therefore, the simplified form of 7 * sqrt(99) is 21 * sqrt(11).