Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
The best definition for the term substitution would be...
the action of replacing someone or something with another person or thing.
The answer is:
n is equal to 1
Answer: 5/4x
Step-by-step explanation:
To solve this you'll need to use the slope formula which is
Y2 - Y1 over
X1 - X2
You already have two points so that's what we'll use.
(4, 7) (12, 17)
17 - 7
12 - 4 = 10/8
10/8 can be simplified further to 5/4
Answer:
6 1/4
Step-by-step explanation:
15 x 5/12 = 15 x 5/12 = 75/12
75/12= 6 3/12 = 6 1/4