Question 128032This question is from textbook integrated mathematics 1
: i dont get the whole chapter... of 9-2. the square roots and everything. like #16, it says 2x^2=36...i dont get that
This question is from textbook integrated mathematics 1
Found 2 solutions by crzyy321, solver91311:
Answer by crzyy321(5)   (Show Source):
You can put this solution on YOUR website! To find the square root of this expression...
First, look at the "number" part of your expression, the 36 .
36 is 36 times 1 ...
...and 36 can be written as 6 to the power 2.
So, the 36 can just be pulled outside of the radical sign, as a 6 ,
and the other factor, the 1 , just stays inside of the radical sign.
Now, we begin to examine the variables under the radical sign.
The final, simplest radical form of 36 square root = 6
Answer by solver91311(24713)  (Show Source):
You can put this solution on YOUR website! Squaring a number is multiplying it by itself. 2 squared is 2 X 2 is 4, for example. The square root is just the opposite of that. If I want the square root of a number, find a number when multiplied by itself gives the original number. So if I want the square root of 9, I know that 3 X 3 is 9, so 3 is the square root of 9. But 3 is only one of the square roots of 9, because -3 X -3 is also 9.
As for notation, if you see  , then by convention, the positive square root is meant. So  is a true statement. But if the problem is  , you must consider both the positive and negative values for x that would make the statement true. In this case,  or 
Let's look at your example problem: 
First step is to divide both sides by 2: 
Now we can take the square root of both sides of the equation:  or 
But we aren't quite done yet. One of the rules for square roots says:
 .
Now we know that  , so we can write our earlier answer as:
 or  , but remember , so the final result is:
 or 
That's as far as you can go without making an approximation since  is irrational, meaning that it cannot be expressed exactly as a decimal.
|
|
|
