GRE Math assist » Arithmetic » simple Squaring / Square roots » Square Roots and also Operations » how to divide square root

Which of the complying with is equal to

Explanation:

We then multiply our portion by
because we cannot leave a radical in the denominator. This provides us
. Finally, we can simplify our fraction, splitting out a 3, leaving us with

Explanation:

You are watching: How to divide a square root

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

.

Explanation:

If we multiplied top and also bottom by

, us would acquire nowhere, as this would certainly result:

Then, square both sides to remove the radical.

Divide both sides by

.

The reason the an adverse is not response is due to the fact that a negative value in a radical is an imagine number.

Explanation:

We don"t desire to have radicals in the denominator. To eliminate radicals, just multiply top and also bottom by the radical.

Explanation:

There are two techniques we have the right to use to leveling this fraction:

Method 1:

Factor the numerator:

Remember, we need to variable out perfect squares.

Method 2:

You can incorporate the portion into one big square root.

Then, you deserve to simplify the fraction.

Explanation:

Let"s element the square roots.

Then, main point 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 since we have actually an irrational number. Next, let"s multiply the numerator and denominator of
by
. When we leveling radical fractions, we shot to get rid of radicals, yet here, we room going to walk backwards.

, so

Explanation:

We don"t want to have radicals in the denominator. To eliminate radicals, simply multiply the numerator and the denominator by the radical.

Remember to distribute the radical in the numerator when multiplying.

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

Finally, if we variable out a

, we get:

Explanation:

Let"s eliminate the radicals in the denominator of every individual fraction.

Then uncover the least common denominator of the fractions, i beg your pardon is , and also multiply them so that they each have actually a denominator of .

We can absolutely simplify the numerator in the right portion by factoring out a perfect square of

.

Finally, we can aspect out a

:

Explanation:

To eliminate the radical, we should multiply through the conjugate. The conjugate uses the the contrary sign and also multiplying by it will let us rationalize the denominator in this problem. The score is obtaining an expression of

in i m sorry we space taking the differences of 2 squares.

This answer is the same as

. Mental to distribute the negative sign.

See more: 1 8 Of An Ounce Is How Many Grams Are In An Eighth? (Visual Guide)

Islamabad College because that Girls, Bachelor the Science, Biology, General. Allama Iqbal medical College Lahore Pakistan, medical professional of M...
Algebra Tutors in Seattle, Chemistry Tutors in Miami, plot Tutors in Dallas ft Worth, Chemistry Tutors in new York City, French Tutors in Chicago, LSAT Tutors in new York City, Spanish Tutors in Denver, ISEE Tutors in mountain Diego, LSAT Tutors in Houston, English Tutors in Seattle
MCAT process & great in Boston, Spanish courses & classes in Houston, ISEE process & great in Phoenix, SSAT courses & class in Chicago, ISEE process & great in Houston, ISEE courses & classes in Atlanta, ISEE courses & class in Seattle, MCAT process & great in brand-new York City, GRE courses & class in Los Angeles, SAT process & class in Phoenix
SSAT test Prep in Denver, ISEE check Prep in Houston, MCAT test Prep in Washington DC, ISEE test Prep in Miami, SSAT check Prep in Los Angeles, MCAT check Prep in san Diego, ISEE test Prep in Washington DC, GMAT check Prep in Boston, sat Test prep in Boston, ACT test Prep in mountain Francisco-Bay Area
Report an issue with this question

If you"ve discovered an issue with this question, you re welcome let us know. V the assist of the ar we can continue to boost our education resources.

your Infringement notice may it is in forwarded to the party the made the content available or to third parties such together ChillingEffects.org.

you re welcome follow these procedures to paper a notice:

friend must include the following:

Send your complaint to our designated certified dealer at:

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