All SAT Math Resources
Example Questions
Example Question #3 : How To Find The Square Root Of A Decimal
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 #32 : Decimals
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 #11 : Basic Squaring / Square Roots
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 #11 : Basic Squaring / Square Roots
Without using a calculator, solve for x:
Simplifying the given equation gives us
Therefore, the correct answer is .
Example Question #383 : Arithmetic
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 .