Solve the radical form, Mathematics

Assignment Help:

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

                     √ y7

Solution

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


Related Discussions:- Solve the radical form

Unitary method, who ,why and when discovered unitary method

who ,why and when discovered unitary method

Four-step plan, Adison earned $25 mowing her neighbor''s lawn. Then she loa...

Adison earned $25 mowing her neighbor''s lawn. Then she loaned her friend $18, and got $50 from her grandmother for her birthday. She now has $86. How much money did Adison have to

Logarithms, We know that 2 4 = 16 and also that 2 is referred to as ...

We know that 2 4 = 16 and also that 2 is referred to as the base, 4 as the index or power or the exponent. The same if expressed in terms of logarithms would be log 2

Polynomials, sum of zero of polynomial x2-2x+1is equal to sum of zero of po...

sum of zero of polynomial x2-2x+1is equal to sum of zero of polynomial x3-2x+x then find the product of all the three zero of the second polynomial

Coefficients of the equation, If coefficients of the equation ax 2 + bx + ...

If coefficients of the equation ax 2 + bx + c = 0, a ¹ 0 are real and roots of the equation are non-real complex and  a + c (A) 4a + c > 2b (B) 4a + c Please give t

Estimate what is the thickness of the paper, Kenny used a micrometer to mea...

Kenny used a micrometer to measure the thickness of a piece of construction paper. The paper measured halfway among 0.24 millimeters and 0.25 millimeters. What is the thickness of

Derivatives, application of derivatives in engg.

application of derivatives in engg.

Complex numbers, Complex Numbers In the radicals section we noted that...

Complex Numbers In the radicals section we noted that we won't get a real number out of a square root of a negative number.  For example √-9 isn't a real number as there is no

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