3 years ago

to rationalize the denominator of 5 - sqrt. 7/ 9 - sqrt. 14, you should mulitply the expression by which fraction?

Mathematics

1 answer:

timofeeve [1]3 years ago

4 0

Answer:

9+sqrt(14)

------------------

9+sqrt(14)

Step-by-step explanation:

When we rationalize the denominator, we need to multiply by the conjugate

The denominator has a-sqrt(b), we multiply by a+sqrt(b)

Since we have 9 -sqrt(14), we need to multiply by 9+sqrt(14)

What we do to the bottom, we do to the top, so multiply by 9+sqrt(14) over 9+sqrt(14) which is equal to 1. This does not change the equation.

9+sqrt(14)

------------------

9+sqrt(14)

You might be interested in

Two sides of a triangle have lengths 10 and 18. Which inequalities describe the values that possible lengths for the third side?

tiny-mole [99]

Well I don't know where inequalities would come in but the third length would be solved as follows.
a^2+b^2=c^2
10^2+18^2=424
$\sqrt{424}$

Answer; $2 \sqrt{106}$
I hope this is correct, its what I would do if I had this equation.

4 0

3 years ago

a fast food chain surveyed a random sample of students to determine what pizza they prefer. Based on the results, how many of th

Elza [17]

50% (170) since there’s only 2 opinion and that’s the only info it gives us

8 0

2 years ago

What is this supposed to be 5-8=?

erica [24]

Answer is 3 so simple

8 0

1 year ago

if a line is perpendicular to each of two intersecting lines at their point of intersection then what is the line

sp2606 [1]

Line is a perpendicular bisector of the angle

6 0

3 years ago

How do you solve this?

Novay_Z [31]

Let's solve your equation step-by-step.

−7x=−2x2+15

Step 1: Subtract -2x^2+15 from both sides.

−7x−(−2x2+15)=−2x2+15−(−2x2+15)

2x2−7x−15=0

Step 2: Factor left side of equation.

(2x+3)(x−5)=0

Step 3: Set factors equal to 0.

2x+3=0 or x−5=0

x= $\frac{-3}{2}$ or x=5

Answer:

x= $\frac{-3}{2}$ or x=5

Hope this helps

7 0

3 years ago