Ask Experts Questions for FREE Help !
Ask
    dingolove09's Avatar
    dingolove09 Posts: 7, Reputation: 1
    New Member
    		  
    #1

    Mar 16, 2009, 06:25 PM
    adding and subtractiong radical expressions
    √180 + √75? :confused:
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
    Expert
    		  
    #2

    Mar 17, 2009, 07:19 AM

    You can convert the numbers 180 and 75 to their prime factors, and then combine terms. I woin't do your specific homework problem for you, but here's an example that illustrates what I mean. Consider sqrt(108) + sqrt(147). Break thse numbers down to their prime factors: 108 is equal to 2*2*3*3*3 and 147 = 3*7*7. Hence you have sqrt(2*2*3*3*3)+sqrt(3*7*7). Recall that sqrt(a^2) = a, so this can be simplified as: 2*3*sqrt(3) + 7*sqrt(3). Now you can combine the sqrt(3) terms:

    2*3*sqrt(3) + 7*sqrt(3) = (6+7)*sqrt(3) = 13*sqrt(3).

    Use this same method on your problem. Post back and let us know what you get.
Not your question? Ask your question View similar questions
 

Question Tools Search this Question
Search this Question:

Advanced Search


Check out some similar questions!

Adding and subtracting radical expressions [ 8 Answers ]

yes this is my homework... v.v.. 1) √63 + √175 + √112 2) √28x + √63x 3) √45 + √180 4) √52 - √1300 5) 5√98 - 3√32 6) √32 + √128 7) √147 + 6√3 8) √168 + √42

Radical Expressions [ 3 Answers ]

What is the square root of 50? And how did you get it?

Radical Expressions [ 4 Answers ]

sumone help me simplify these? The "^" means to the power of the number that follows it √54x^3y^5 2√12x^4y^5 0.5√8x^4y^3 3√75x^3y^5

Radical expressions [ 2 Answers ]

Looking for the correct answer for this problem: square root of 10x to the sixth power times y cubed times the square root of 2x to the fifth power times y

Radical expressions [ 2 Answers ]

radical 28y^8x^9z^6

View more questions Search