We try to represent each number inside the square root as a product of a square and another number.
a) 7√32 - 5√2 + √8
√32 = √(16 *2) = √16 * √2 = 4* √2 = 4√2
√8 = √(4 *2) = √4 * √2 = 2* √2 = 2√2
7√32 - 5√2 + √8 = 7*(4√2) - 5√2 + 2√2 =
= 28√2 - 5√2 + 2√2 Factorize out √2
= (28 - 5 + 2)√2
= 25√2
b) 2√150 - 4√54 + 6√24
√150 = √(25 * 6) = √25 * √6 = 5*√6 = 5√6
√54 = √(9 * 6) = √9 * √6 = 3*√6 = 3√6
√24 = √(4 * 6) = √4 * √6 = 2*√6 = 2√6
2√150 - 4√54 + 6√24 = 2*(5√6) - 4*(3√6) + 6*(2√6)
= 2*5√6 - 4*3√6 + 6*2√6
= 10√6 - 12√6 + 12√6 Factorize √6
= (10 - 12 + 12)√6
= 10√6
Answer
$168.75
Step-by-step explanation:
$22.50 per hour meaning every hour she gets 22.50
half an hour would be half the money so
22.50 * 7 = 157.50
22.50/2 = 11.25
157.50 + 11.25 = 168.75
168.75 is the answer
The answer would be c hope that helped
Answer:
A. 8.737
Step-by-step explanation:
I calculated it logically
First, replace all variables with the given values.
12(9) + 9(2) + 2(12)
This should then equal 150, then the formula says to multiply this answer by 2. Doing so, should give a final answer of 300.
