Questions


August 2022 1 10 Report
B. Referring to each pair in letter A, do the following
A. Find the sum of each pair of radicals.

B. Subract the first radical from the second radical.

C. Find the product of each pair of radicals.

D. Divide the second radical by the first radical.

Eto answer nyan oh!

Answer:

A.

1. , 6. ,



2. , 7. ,



3. , 8. ,



4. , 9. ,



5. , 10. ,



B.

A. Find the sum of each pair of radicals.
1. 6.

2. 7.

3. 8.

4. 9.

5. 10.

B.
1. 6.

2. 7.

3. 8.

4. 9.

5. 10.

C.
1. 6.

2. 7.

3. 8.

4. 9.

5. 10.

D.
1. 6.

2. 7.

3. 8.

4. 9.

5. 10.

Step-by-step explanation:

We can reduce the radicand by expressing the radicand as factors of two numbers, such that, one of the numbers is a perfect square. This can only be done provided that the radicand is not a prime number, since the prime numbers have factors 1 and themselves only.

Steps in Reducing Radicals
Make sure that the radicands are not prime numbers.
Express the radicands as a product of two or more numbers, such that, two or more numbers are a perfect square.
Rewrite it as a product of different radicals.
Simplify the perfect square.
For example, . We know that is not a prime number and we can find two factors which are 3 and 9. The number 9, in this case, is a perfect square.



We can now rewrite it as a product of two different radicals and simplify the perfect square.





Thus, the reduced form of is .

Techniques to determine if the radicals are similar
The radicand values are the same. You can treat them as variables
Regardless of any constant outside of the radical, still what matters is the value inside the radical term.
We can say that they are the same if the terms under the radical symbol are the same.
For example, and are considered as similar terms.

Techniques to Multiply radicals
Multiply the constants outside the radical terms.
Multiply the terms under the radical symbol and keep the root.

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