







4√3 + 2√1/3 
20100925 

From Michelle: How do you solve 4√3 + 2√1/3? Please show step by step. Answered by Penny Nom. 





An algebraic exercise with fractions and radicals 
20081118 

From Rubén: Question from Rubén, a teacher:
I have the ecuation:
U = [yb / (ab+a^2)]^1/2 + [ya / (ab+b^2)]^1/2
I know for sure this reduces to
U = [y (1/a + 1/b)]^1/2
but I cannot find a way to get into that result!
Thanks Answered by Rubén Osuna. 





An equation with three radicals 
20081113 

From Crystal: I need to solve this radical equation but i am confused on how to solve it with three square roots in it.
sqrt(3x)+3sqrt(2x3)=sqrt(3x2) Answered by Harley Weston. 





The square root of a fraction 
20080824 

From Lauren: How do you solve square roots of fractions? Does the format change if it is either a proper or an improper fraction?
Ex. the square root of 1/4 or the square roots of 80/25 Answered by Penny Nom. 





3 radical 48 +11 radical 75 
20080524 

From Maria: Add 3 radical 48 +11 radical 75. Write answer in simpliest form. Answered by Penny Nom. 





Surds 
20080104 

From INDRAJIT: SUBJECT: SURD
How do I simplify this expression with surds in the denominator?
INDRAJIT
INDIA Answered by Stephen La Rocque. 





Radicals in exponential form 
20080102 

From Andre: The title of the section in my textbook is to write each of the following
radicals in exponential form.
My question is how do u write the squareroot of 10 in exponential form? Answered by Penny Nom. 





14/square root 3 
20070912 

From Prudence: How to solve this question?
1  4/√3 Answered by Penny Nom. 





The height of a triangle 
20070717 

From linda: IF AREA EQUALS 12radical 30 of the triangle find the height B= 3 radical 3 Answered by Penny Nom. 





Radical 96 plus radical 27 divide by radical 3 
20070717 

From linda: radical 96 plus radical 27 divide by radical 3 Answered by Penny Nom. 





Simplifying radicals 
20061023 

From Christin: i would like for you to solve this problem?? 6 square root 8 Answered by Stephen La Rocque. 





Equations involving radicals 
20041116 

From Merin:
I am quite confused about solving radical equations. This is what I understand:
___
V x3 = 3
Then you would square each side to get ride of the radical sign and then you solve the problem from there. (x=12 right?)
However, what about a problem with two radicals? For example:
___ ____
V x2 + V 3x3 = 3
No matter what I try I cant get the right answer!! Please help!!! Answered by Penny Nom. 





Radicals with fractional radicands 
20021111 

From A student: how do I simplify radicals with fractional radicands? ex. 7sqrt(2) + sqrt(50)  2sqrt(18) 10sqrt(3/5)  24sqrt(5/3) 3sqrt(2/9) + 1/2sqrt(32) + sqrt(9/8) Answered by Penny Nom. 





Radicals 
20010318 

From Nikki: 3) squareroot of x^{2} + 10x + 25 4) sixthroot of (m + 4)^{6} 5) cuberoot of 64r^{6}w^{15} . . . . Answered by Penny Nom. 





Where will we use this in the real world? 
20001011 

From Jane Ann Musgrove: As a teacher of mathematics, I am always asked "Where will we use this in the real world?". I am seeking ideas/sites via the internet where students can find answers to this type of question. Can you help me? To be more specific, right now I am interested in finding careers where the employees would use the concepts of "Radicals", "Matrices", and "Logarithms". This information will be used by students to make presentations to the class on their findings from internet searches. Answered by Harley Weston. 





Simplifying Radicals 
19990126 

From Mary: I would like to know how to simplify this question:
4 __________________ squareroot7 + squareroot3
I know the answer is (sqrt7  sqrt3) but i would really love to know how to get that answer!! Thanks. Answered by Jack LeSage and Penny Nom. 





Simplifying Radicals 
19990125 

From Randy: Find the perimeter of a rectangle in simplified radical form L=root80 W=root45. I would appreciate a detailed explination of the process for solving. Answered by Jack LeSage and Penny Nom. 





Radicals 
19980915 

From Lana Sabo: Question: fifteen times the square root of twenty, divided by the square root of 2. nine subtract the square root of fortyfive, divided by 3. the square root of 18 plus the square root of 12, divided by the square root of 3. Answered by Harley Weston. 





Square Roots and Functions. 
19970423 

From Ed: 1. In most texts the solution to a question such as square root x = 6 is x is undefined. Yet when teaching to solve xsquared = 36 x = +6 or 6 There appears to be a contradiction here. My question is when, where and why do we use the principle square root, not both + and ? This often occurs as the extraneous root in the solution of radical equations and in stating the domain and range of functions involving square roots. 2. Are there any simple rules for determining whether equations are functions without graphing them and doing a vertical line test? Answered by Harley Weston. 

