SAT Math : How to find the square root of a decimal

Study concepts, example questions & explanations for SAT Math

varsity tutors app store varsity tutors android store varsity tutors amazon store varsity tutors ibooks store

Example Questions

← Previous 1 2 Next →

Example Question #11 : How To Find The Square Root Of A Decimal

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

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 : How To Find The Square Root Of A Decimal

Without using a calculator, solve for x:

Possible Answers:

Correct answer:

Explanation:

Simplifying the given equation gives us

Therefore, the correct answer is .

 

Example Question #31 : Decimals

If  and , what is the value of ?

Possible Answers:

Correct answer:

Explanation:

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 .

← Previous 1 2 Next →
Learning Tools by Varsity Tutors