All categories

3 years ago

Simplify the following expression. Rationalize all denominators.

Mathematics

1 answer:

Ghella [55]3 years ago

3 0

Answer:

$\frac{\sqrt{3}x}{2y^{\frac{2}{3} } }$

Step-by-step explanation:

√3x^6/√2x^4y^3

~Factor

(√3)x^3/(√2)x²y√y

~Cancel

(√3)x/(√2)y√y

~Rationalize

(√6)x/2y^(2/3)

Best of Luck!

You might be interested in

5/7x =5 <br> Pls pls pls someone help me on this I tried so many times and I can’t figure this out.

Talja [164]

Step-by-step explanation:

$\frac{5}{7} x = 5 \\ x = \frac{5 \times 7}{5} \\ x = 7$

value of x is 7

hope this answer helps you dear....take care!

8 0

3 years ago

Read 2 more answers

When Kirk and Elisa formed their general partnership, Kirk contributed 90 percent of the capital, and Elisa contributed 10 perce

topjm [15]

Answer:

Her share is $3500

Step-by-step explanation:

As a general rule, if they did not make any specifications on how they would share the profit, then they should share it according on how percentage of capital they contributed. Since Elisa only contributed 10%, then she should get only 10% of profit, as a result, her share is 35000*0.1 = $3500.

3 0

3 years ago

Rationalize the numerator. <br><img src="https://tex.z-dn.net/?f=%20%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B144x%20%7D%20%7D%7B%20%5Csq

Simora [160]

rationalizing the numerator, or namely, "getting rid of that pesky radical at the top".

we simply multiply top and bottom by a value that will take out the radicand in the numerator.

$\bf \cfrac{\sqrt[3]{144x}}{\sqrt[3]{y}}~~
\begin{cases}
144=2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 3\\
\qquad 2^3\cdot 18
\end{cases}\implies \cfrac{\sqrt[3]{2^3\cdot 18x}}{\sqrt[3]{y}}\implies \cfrac{2\sqrt[3]{ 18x}}{\sqrt[3]{y}}
\\\\\\
\cfrac{2\sqrt[3]{ 18x}}{\sqrt[3]{y}}\cdot \cfrac{\sqrt[3]{(18x)^2}}{\sqrt[3]{(18x)^2}}\implies \cfrac{2\sqrt[3]{(18x)(18x)^2}}{\sqrt[3]{(y)(18x)^2}}\implies \cfrac{2\sqrt[3]{(18x)^3}}{\sqrt[3]{18^2x^2y}}$

$\bf \cfrac{2(18x)}{\sqrt[3]{324x^2y}}~~
\begin{cases}
324=2\cdot 2\cdot 3\cdot 3\cdot 3\cdot 3\\
\qquad 12\cdot 3^3
\end{cases}\implies \cfrac{36x}{\sqrt[3]{12\cdot 3^3x^2y}}
\\\\\\
\cfrac{36x}{3\sqrt[3]{12x^2y}}\implies \cfrac{12x}{\sqrt[3]{12x^2y}}$

3 0

3 years ago

Read 2 more answers

A car traveling 65 mph leaves 25 ft skid mark. What is the ratio of the speed (mph) to the lenght of skid marks (ft) give you an

Pie

The answer is 13:5 I did this by dividing the numbers by a common factor

5 0

3 years ago

A circle with center at (0,0) passes through (-8,0. Find the circumference and area of the circle in terms of p.

klemol [59]

Jdkjejejdjejbfjfbfjfbfjfbfkdbfjfbdkdnfbd

3 0

3 years ago