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

Quadratic equations, Q UADRATIC EQUATIONS: For  the  things  of this  wor...

Q UADRATIC EQUATIONS: For  the  things  of this  world  cannot  be  made  known without  a  knowledge of mathematics. Solve by factorization a.    4x 2 - 4a 2 x +

An amortization, Ahmad borrowed $450000.00 at 3% compounded semi-annually f...

Ahmad borrowed $450000.00 at 3% compounded semi-annually for ten years to buy an apartment. Equal payments are made at the end of every six months. a) Determine the size of the se

The expected monetary value method, The expected monetary value method ...

The expected monetary value method The expected pay off as profit associated with a described combination of act and event is acquired by multiplying the pay off for that act a

Linear equations, A police academy is training 14 new recruits. Some are wo...

A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruits are there?

Ineqaulites, how to work out inequalities with negative signs?

how to work out inequalities with negative signs?

Differential equations, Verify Liouville''''''''s formula for y "-y" - y'''...

Verify Liouville''''''''s formula for y "-y" - y'''''''' + y = 0 in (0, 1) ?

Line plots, how to you find the difference between different line plots

how to you find the difference between different line plots

Polynomials, give an example of a binomial of degree 27?

give an example of a binomial of degree 27?

Solve the recurrence relation, Solve the recurrence relation T ...

Solve the recurrence relation T (K) = 2T (K-1), T (0) = 1 Ans: The following equation can be written in the subsequent form:  t n - 2t n-1 =  0  Here now su

Distribution of sample means not normal, The distribution of sample means i...

The distribution of sample means is not always a normal distribution. Under what circumstances is the distribution of sample means not normal?

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