Hi! Can someone check this and see if they are correct? Thanks!
1.) Which value of x should the expression be further simplified? √(21)x
a.) 5
B.) 6
c.) 11
D. 55
My answer: a
2.) 2√43x is show: Which value of x makes the expression equivalent to 14√43?
a.) 7
b.) 12
c.) 49
d.) 98
My answer: a
3.) Which value of x should the expression be further simplified? √(55)x
a.) 7
b.) 12
c.) 13
d.) 15
My answer: d
2. 2*Sqrt(43x) = 14*Sqrt(43)
Square both sides:
4*43x = 196*43
4x = 196
X = 49
For what value of X can the expression Square root of 55X be further simplified?
To check the answers for these questions, let's go through each one and explain how to arrive at the correct answer.
1.) The expression √(21)x can be simplified by first evaluating the square root of 21, which is approximately 4.5826. Then, multiply this result by x. So the simplified expression is approximately 4.5826x.
Comparing this to the given answer choices, none of the options match the simplified expression. Therefore, none of the provided answer choices are correct.
2.) The expression 2√43x is equivalent to 14√43 when x equals 7. We can find this by dividing 14√43 by 2 to get 7√43. Therefore, the correct answer is a.) 7.
3.) The expression √(55)x can be simplified by first evaluating the square root of 55, which is approximately 7.4162. Then, multiply this result by x. So the simplified expression is approximately 7.4162x. Comparing this to the given answer choices, the closest one is d.) 15. Although it is not an exact match, it is the closest option to the simplified expression. Therefore, the most appropriate answer would be d.) 15.
In summary:
1.) None of the provided answer choices are correct.
2.) The correct answer is a.) 7.
3.) The most appropriate answer is d.) 15.