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

Tests for relative minimum, Tests for relative minimum For a relative ...

Tests for relative minimum For a relative minimum point there are two tests: i.The first derivative, which is (dy)/(dx)  = f´(x) = 0 ii.The second derivative, which i

Question, Hi I have a maths question related to construction as its a cons...

Hi I have a maths question related to construction as its a construction management course...i could send some example sheets too...could it be done?

To calculate volume of cylinder which formula is used, Mimi is filling a te...

Mimi is filling a tennis ball can along with water. She wants to know the volume of the cylinder shaped can. Which formula will she use? The volume of a cylinder is π times the

Listing method, how will you explain the listing method?

how will you explain the listing method?

Limits, evaluate limit as x approaches 0 (x squared times sin (1/x)

evaluate limit as x approaches 0 (x squared times sin (1/x)

Shortcuts, pls told the maths shortcuts

pls told the maths shortcuts

Solve the linear equation, Solve the linear equation: The equation rel...

Solve the linear equation: The equation relating the pressure that is denoted by P, to the force, F & the area, A, over which the force is applied is P =F/A.  Solve this equat

The sum of the clock, how many times In a 12 hour period will he numbers ad...

how many times In a 12 hour period will he numbers add up to 6? (hint 3:00 is one answer0

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