Step-by-step explanation:
We are asked to simply (2√5 + 3√2)². Using formula: (a + b)² = a² + b² + 2ab. Let's say 2√5 = a, 3√2 = b. So,
→ (a + b)² = a² + b² + 2ab
→ (2√5 + 3√2)² = (2√5)² + (3√2)² + 2(2√5)(3√2)
We are aware about the fact that root means 1/2 and square of root means 2/2 that is 1. Using this we get:
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2√5)(3√2)
Solve the brackets, to do so first put the like terms in one box.
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2*3)(√5)(√2)
Solve the rest calculations.
→ (2√5 + 3√2)² = 20 + 18 + 2(6)(√10)
→ (2√5 + 3√2)² = 38 + 12√10
Option (a) (38 + 12√10) is the correct option.
A. If the center plans to feed 700 people in 4 hours, then in order to find the average number of people the center is planning to feed each hour is 700/4 which is equal 175. So, the center is planning to feed 175 people per hour.
B. If during the first hour and a half, the center fed 270 people, find the remaining people to feed left: 700 - 270 = 430 people left to feed.
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Answer:
Just took the quiz. Answer is D. 25/2 (sqrt(2)+sqrt(6))+65
Step-by-step explanation:
Very easy to do this.
60/12 is your fraction.
Multiply numerator and denominator by the same number.
60*2/12*2 = 120/24
120/24 = 5
You can also simplify.
60/12 = 5
12/12 = 1
5/1 = 5
60/12 = 5