Which of the following is equal to

Explanation: We then multiply our fraction by because we cannot leave a radical in the denominator. This gives us . Finally, we can simplify our fraction, dividing out a 3, leaving us with

Explanation:

Let"s combine the two radicals into one radical and simplify.

You are watching: How to divide a square root

Remember, when dividing exponents of same base, just subtract the power.

The final answer is

.Explanation:

If we multiplied top and bottom by

, we would get nowhere, as this would result: . Instead, let"s cross-multiply.Then, square both sides to get rid of the radical.

Divide both sides by

.The reason the negative is not an answer is because a negative value in a radical is an imaginary number.

Explanation:

We don"t want to have radicals in the denominator. To get rid of radicals, just multiply top and bottom by that radical.

Explanation:

There are two methods we can use to simplify this fraction:

Method 1:

Factor the numerator:

Remember, we need to factor out perfect squares.

Method 2:

You can combine the fraction into one big square root.

Then, you can simplify the fraction.

Explanation:

Let"s factor the square roots.

Then, multiply the numerator and the denominator by

to get rid of the radical in the denominator.Explanation:

We can definitely eliminate some answer choices.

and don"t make sense because we have an irrational number. Next, let"s multiply the numerator and denominator of by . When we simplify radical fractions, we try to eliminate radicals, but here, we are going to go backwards., so is the answer.Explanation:

We don"t want to have radicals in the denominator. To get rid of radicals, just multiply the numerator and the denominator by that radical.

Remember to distribute the radical in the numerator when multiplying.

This may be the answer; however, the numerator can be simplified. Let"s factor out the squares.

Finally, if we factor out a

, we get:Explanation:

Let"s get rid of the radicals in the denominator of each individual fraction.

Then find the least common denominator of the fractions, which is , and multiply them so that they each have a denominator of .

We can definitely simplify the numerator in the right fraction by factoring out a perfect square of

.Finally, we can factor out a

:That"s the final answer.

Explanation:

To get rid of the radical, we need to multiply by the conjugate. The conjugate uses the opposite sign and multiplying by it will let us rationalize the denominator in this problem. The goal is getting an expression of

in which we are taking the differences of two squares.This answer is the same as

. Remember to distribute the negative sign.See more: 1 8 Of An Ounce Is How Many Grams Are In An Eighth? (Visual Guide)

Islamabad College for Girls, Bachelor of Science, Biology, General. Allama Iqbal Medical College Lahore Pakistan, Doctor of M...

Algebra Tutors in Seattle, Chemistry Tutors in Miami, ACT Tutors in Dallas Fort Worth, Chemistry Tutors in New York City, French Tutors in Chicago, LSAT Tutors in New York City, Spanish Tutors in Denver, ISEE Tutors in San Diego, LSAT Tutors in Houston, English Tutors in Seattle

MCAT Courses & Classes in Boston, Spanish Courses & Classes in Houston, ISEE Courses & Classes in Phoenix, SSAT Courses & Classes in Chicago, ISEE Courses & Classes in Houston, ISEE Courses & Classes in Atlanta, ISEE Courses & Classes in Seattle, MCAT Courses & Classes in New York City, GRE Courses & Classes in Los Angeles, SAT Courses & Classes in Phoenix

SSAT Test Prep in Denver, ISEE Test Prep in Houston, MCAT Test Prep in Washington DC, ISEE Test Prep in Miami, SSAT Test Prep in Los Angeles, MCAT Test Prep in San Diego, ISEE Test Prep in Washington DC, GMAT Test Prep in Boston, SAT Test Prep in Boston, ACT Test Prep in San Francisco-Bay Area

Report an issue with this question

If you"ve found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please follow these steps to file a notice:

You must include the following:

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC 101 S. Hanley Rd, Suite 300 St. Louis, MO 63105