Solve the radical form, Mathematics

Simplify following. Suppose that x, y, & z are positive.

                     √ y7


In this case the exponent (7) is larger than the index (2) and thus the first rule for simplification is violated. To fix this we will utilizes the first & second properties of radicals above. Thus, let's note that we can write the radicand such as

                                                   y7  = y6 y = ( y3 )2  y

Thus, we've got the radicand written such a perfect square times a term whose exponent is smaller than the index. Then the radical becomes,

499_Solve the radical form.png

Now employ the second property of radicals to break up the radical and use the first property of radicals then on the first term.

2281_Solve the radical form1.png

Now this satisfies the rules for simplification and thus we are done.

Before moving to set of examples illustrating the last two simplification rules we have to talk briefly regarding adding/subtracting/multiplying radicals. Performing these operations along with radicals is much alike as performing these operations along with polynomials

Remember again that to add/subtract terms with x in them all we have to do is add/subtract the coefficients of the x.  For instance,

4 x +9 x = ( 4 +9) x = 13x                      3x -11x = (3 -11) x = -8x

Adding/subtracting radicals works in exactly the similar manner.  For example,

403_Solve the radical form2.png

Posted Date: 4/6/2013 2:09:38 AM | Location : United States

Related Discussions:- Solve the radical form, Assignment Help, Ask Question on Solve the radical form, Get Answer, Expert's Help, Solve the radical form Discussions

Write discussion on Solve the radical form
Your posts are moderated
Related Questions
encoded with the matrix -3 -7 and 4 9. what lights up a soccer stadium? ecoded message: {-3 - 7} {3 2 } {3 6} {57 127} {52 127} {77 173} {23 51)

x+2y^2=63 and 4x+y^2=0; Find the area of the regions enclosed by the lines and curves.

Give all solutions between o degree and 360 degree for sin x=3/2

identify 4 sketch the quadric surfaces

do you have a decimal place value chart

Example of Product moment correlation The given data was acquired during a social survey conducted in a described urban area regarding the yearly income of described families

Take the carburizing of a steel bar to make a hard surface. To obtain the desired hardness, we require to control the diffusion of carbon into the surface and the phases obtained d

Model of 180 meter tall building using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be?

i m making a project on share and dividend. will u pls give the all of 10pages information ?