SOLUTION: I'm not really good at word problems, so if someone could help I would appreciate it. How would I solve this. One eighth of the square root of seven less than a number is 2. What

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Question 87648: I'm not really good at word problems, so if someone could help I would appreciate it.
How would I solve this.
One eighth of the square root of seven less than a number is 2. What is the number?
Thank you
Found 2 solutions by longjonsilver, stanbon:
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
first, define the number to be, say, x

right then...
"seven less than a number" is written as: x-7: just think of 7 less than 10... we would say 3 because 10-7 is 3.

right then...
"square root of seven less than a number" is... +sqrt%28x-7%29+

and finally...
"one eighth of the square root of seven less than a number" is... +%281%2F8%29sqrt%28x-7%29+

and this equals 2. So,
+%281%2F8%29sqrt%28x-7%29+=+2+
+sqrt%28x-7%29+=+16+
Opposite (or reverse) of a square root is to square something, so square both sides:
+%28x-7%29+=+16%5E2+
+%28x-7%29+=+256+
+x+=+263+

Hope this helps?

cheers
Jon.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One eighth of the square root of seven less than a number is 2. What is the number?
----------
Let the number be x.
EQUATION:
x - (1/8)sqrt7 = 2
x = 2+(1/8)sqrt7
x = 2.3307...
Cheers,
Stan H.