Question

Simplify.

Answer 1

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.

Answer 2

Answer: 6/4

Step-by-step explanation:

Pull terms out from under the radical.

3

(

8

√

8

)

Multiply

8

by

3

.

3

√

8

The result can be shown in multiple forms.

Exact Form:

6

√

4

Decimal Form:

0.61237243....