To simplify the radical below, which of the following expressions would be multiplied by the radical?

6 answers
Question:

To simplify the radical below, which of the following expressions would be multiplied by the radical?

[tex]To simplify the radical below, which of the following expressions would be multiplied by the radical[/tex]


Answers

-4 + sqrt(12)

-4+ sqrt(12)

Choice A

Step-by-step explanation:

when you have a radical expression in the denominator, you multiply by the  conjugate to clear the radical in the denominator

if your expression in the denominator is

a+sqrt(b)  you multiply by a- sqrt (b)

now remember what you do to the bottom, you do to the top

so you will have to multiply the numerator by the same thing

you will multiply by

a- sqrt(b)

a- sqrt(b)


in this case we have  -4 -sqrt(12)

a = -4

b = -sqrt(12)

so we will multiply by

-4 + sqrt(12)

-4+ sqrt(12)

For this case, we must simplify the following expression:

[tex]\frac {2 \sqrt {15}} {- 4- \sqrt {12}}[/tex]

We must rationalize the expression, the rationalization consists in eliminating the roots of the denominator, for it, we multiply the numerator and denominator by another expression equal to the initial denominator but with the sign changed to the root. That is, we must multiply the numerator and denominator by: [tex]{-4+ \sqrt {12}}[/tex]

Thus, we must multiply by: [tex]\frac {-4 + \sqrt {12}} {- 4+ \sqrt {12}}[/tex]

Option A

For this case, we must simplify the following expression:

[tex]\frac {2 \sqrt {15}} {- 4- \sqrt {12}}[/tex]

We must rationalize the expression, the rationalization consists in eliminating the roots of the denominator, for it, we multiply the numerator and denominator by another expression equal to the initial denominator but with the sign changed to the root. That is, we must multiply the numerator and denominator by: [tex]{-4+ \sqrt {12}}[/tex]

Thus, we must multiply by: [tex]\frac {-4 + \sqrt {12}} {- 4+ \sqrt {12}}[/tex]

Option A

i cant write song thats not about you

Step-by-step explanation:

is it too  late to tell you that everything means nothing if i cant have yo

it would be option d

In algebra, a conjugate is a binomial formed by negating the second term of a binomial. The conjugate of x + y is x − y, where x and y are real numbers. If y is imaginary, the process is termed complex conjugation: the complex conjugate of a + bi is a − bi, where a and b are real

Therefore the binomial to be multiplied is its conjugate which would be:

(-4 + √12) / (-4+√12)

I hope my answer has come to your help. God bless and have a nice day ahead!

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