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

HELP, WHAT TWO SIX DIDGIT NUMBERS CAN YOU ADD 984,357

WHAT TWO SIX DIDGIT NUMBERS CAN YOU ADD 984,357

Operations with rational numbers, larry spends 3/4 hours twice a day walkin...

larry spends 3/4 hours twice a day walking and playing with his dog. He spends 1/6 hours twice a day feeding his dog. how much time does larry spend on his dog each day?

Fundamental theorem of integral facts formulasproperties, Fundamental Theor...

Fundamental Theorem of Calculus, Part I If f(x) is continuous on [a,b] so, g(x) = a ∫ x f(t) dt is continuous on [a,b] and this is differentiable on (a, b) and as,

What is the annual interest rate on an account in which earn, What is the a...

What is the annual interest rate on an account in which earns $948 in simple interest over 36 months along with an initial deposit of $7,900? Using the easy interest formula In

Roof-finding using steffensen''s method, write a computer program that will...

write a computer program that will implement Steffensen''s method.

Determine principal strains and direction , A 100 by 150 mm rectangular pla...

A 100 by 150 mm rectangular plate is deformed as shown in the following figure. All dimensions shown in the figure are in millimeters.  Determine at point Q: (a) the strain compone

Why is vector division undefined, Division basically refers to multiplicati...

Division basically refers to multiplication of reciprocal. For example a/b is same as a*1/b or we can say, is same as a*b -1 , which is "a" multiplied to the inverse of "b". There

Rational and irrational numbers, RATIONAL NUMBERS All numbers of the ty...

RATIONAL NUMBERS All numbers of the type p/q where p and q are integer and q ≠0, are known as rational. Thus  it can be noticed that every integer is a rational number

BOUNDARY VALUE PROBLEM, Ut=Uxx+A exp(-bx) u(x,0)=A/b^2(1-exp(-bx)) u(0,t)=0...

Ut=Uxx+A exp(-bx) u(x,0)=A/b^2(1-exp(-bx)) u(0,t)=0 u(1,t)=-A/b^2 exp(-b)

Dividing whole numbers, Dividing Whole Numbers: Example: Divide 3...

Dividing Whole Numbers: Example: Divide 347 by 5. Solution:                      Beginning from the left of the dividend, the divisor is divided into the

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