How to simplifying square roots, Mathematics

Assignment Help:

How to Simplifying Square Roots ?

To simplify square roots,

1. Factor the radicand into primes.
2. Circle each pair of like numbers.
3. For each pair of like numbers, place the individual number outside the radical sign and erase the pair inside the radical. The number outside is called the coefficient.
4. Multiply the numbers outside the radical sign.
5. Multiply the numbers inside the radical sign.

Example 1: Simplify √30.
√30 = √5.6 = √2.3.5 = √30
30 has no pairs of factors, so √30 is in simplest form.

Example 2: Simplify √125.
√45 = √5.9 = √3.3.5 = √(3.3).5 = 3√5
The prime factorization of 45 is . Since there's one pair of 3's, place a 3 outside of the radical sign and erase the pair of 3's inside the sign.

Example 3: Simplify √36
√36 = √6.6 = 6
36 wasn't factored into primes, because it's easy to notice that the number is a perfect square. Using the original method gives the same answer.

√36 = √6.6 = √2.3.2.3 = √(2.2).(3.3)
Try these on your own:

Example 4: Simplify √48
Example 5: Simplify √300.


Related Discussions:- How to simplifying square roots

Determine the marginal probability distributions, (1)   The following table...

(1)   The following table gives the joint probability distribution p (X, Y) of random variables X and Y. Determine the following: (a) Do the entries of the table satisfy

Trigonometry, what are reason inside a circle?

what are reason inside a circle?

Trignometry, prove that sin A /cot A + cosec A = 2 + sinA / cot A - cosec A...

prove that sin A /cot A + cosec A = 2 + sinA / cot A - cosec A

Evaluate inverse tangents , Evaluate following limits. Solution ...

Evaluate following limits. Solution Here the first two parts are actually just the basic limits including inverse tangents and can easily be found by verifying the fol

Area and perimeter, a garden is constructed with a 3ft patio all around how...

a garden is constructed with a 3ft patio all around how would you give the expression for the area of the garden, excluding the patio

Calculate the probability, Calculate the introduction to Probability? P...

Calculate the introduction to Probability? Probability refers to the chance that an event will happen. Probability is presented as the ratio of the number of ways an event can

Find out the x-intercepts, Find out the x-intercepts & y-intercepts for eac...

Find out the x-intercepts & y-intercepts for each of the following equations.                            y =x 2 +x - 6 Solution As verification for each of these we wil

Convex rectilinear figure, the sum of the interior angles of a convex recti...

the sum of the interior angles of a convex rectilinear figure is equal to sum of the exterior angles. then the number of sides is

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd