Answer: D - 3 + 2√2 + √3
Solution: For the first question, we can just simply add up all of the terms to find the perimeter. Keep in mind that you cannot collect like terms for √3 and√2, since they are not alike. You have to keep them separate.
Hence, the only via solution is (D) 3 + 2√2 + √3
Answer: C - √10 + √13 = √23
Explanation: If we have two different terms inside the square root, we are not allowed to add them together; yes, you can multiply and divide, but not add or subtract.
For (A), if we square a number inside the root, we simply remove the square root sign, so that is correct.
For (B), we are allowed to multiply two square root numbers inside to form one unit.
For (D), we are allowed to divide two square root numbers inside to form one unit.
The answer would be C: 5^4
In geometry, there is a theorem that states: The sum of any two sides of a triangle is greater than that of the third
Let's try to plug in and find if any two sides added together will be greater than the third:
a) 2 cm
3+5=8 and 8>2 [acceptable]
2+3=5 but 5=5 [not acceptable]
2+8=10 and 10>5 [acceptable]
b) 3 cm
3+3=6, 6>5 [good]
3+5=8, 8>3 [good]
.....
etc
We found that the answer has to be 2cm, because if we were to add a side of 2cm with 3cm, it would equal to the third side and the theorem states that the sum has to be greater
Hope this helped :) If so, leave a rating :)
Amplitude - It is the magnitude of an oscillation. In addition, it is also used to refer to Jacobi amplitude.
Period - The intervals where the periodic function recur.
Frequency - The number of occurrences within the given period of time.
Good luck :)
