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Example Questions
Example Question #383 : Arithmetic
Solve for :
Just like any other equation, isolate your variable. Start by multiplying both sides by :
Now, this is the same as:
You know that is
. You can intelligently rewrite this problem as:
, which is the same as:
Example Question #8 : How To Find The Square Root Of A Decimal
Find the square root of the following decimal:
To find the square root of this decimal we convert it into scientific notation.
Because has an even exponent, we can divide the exponenet by 2 to get its square root.
is a perfect square, whose square root is
.
Example Question #1261 : Sat Mathematics
Evaluate:
The square root of a number returns a positive and negative number that multiplies by itself to obtain the number inside the square root.
Example Question #32 : Decimals
Without using a calculator, solve for x:
Simplifying the given equation gives us
Therefore, the correct answer is .
Example Question #1262 : Sat Mathematics
If and
, what is the value of
?
We are given the equation . To determine the value of
, take the square root of both sides.
.
To calculate this value, take note of the following pattern:
Each succeeding radicand is of the previous radicand, and the value of each succeeding square root is
of the previous value. Continuing the pattern:
. However, we are also given the condition that
; hence, we eliminate the extraneous solution
and conclude that the only valid solution of
is
.
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