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
Functional and variations.Block III, Consider the functional S[y]=?_1^2 v(x^2+y'')dx , y(1)=0,y(2)=B Show that if ?=S[y+eg]-S[y], then to second order in e, ?=1/2 e?_1^2¦?g^'

1.  What is the probability that the two beverages will be of the same kind? 2.  What is the probability that the two beverages will be different? 3.  What is the probability

what is the greatest projection range down an inclined plane? how we will calculate that?

subtract 20and 10,and then mutiply by 5

Manuel is a cross-country runner for his school’s team. He jogged along the perimeter of a rectangular field at his school. The track is a rectangle that has a length that is 3 tim

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

how can you determine trasportation schedule that minimizes cost

applications of VAM.

2, -8, 32, -128, ?, ?, ?, what are these next 3?