SOLUTION: Given the following expression 4 square root 7x , what value must x become in order for the expression to simplify to 20 square root 7. a. 5 b. 25 c. 1 d. not possible

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Question 1038093: Given the following expression 4 square root 7x , what value must x become in order for the expression to simplify to 20 square root 7.
a. 5
b. 25
c. 1
d. not possible

Found 2 solutions by tutor_paul, MathTherapy:
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
4sqrt%287x%29
For this to be 20sqrt%287%29, the original expression needs to be multiplied by 5. Another way to represent 5 is sqrt%2825%29.
So:
20sqrt%287%29=4sqrt%28%287%29%2825%29%29
Therefore,
highlight%28x=25%29
==============
Good Luck,
tutor_paul@yahoo.com

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Given the following expression 4 square root 7x , what value must x become in order for the expression to simplify to 20 square root 7.
a. 5
b. 25
c. 1
d. not possible
4sqrt%287x%29+=+20sqrt%287%29
16(7x) = 400(7) --------- Squaring both sides
112x = 2,800
x+=+matrix%281%2C1%2C+%222%2C800%22%29%2F112 or highlight_green%28matrix%281%2C3%2C+x+=+25%2C+%22%28CHOICE%22%2C+%22b%29%22%29%29