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4 years ago

Help! I don't get this

Mathematics

1 answer:

UNO [17]4 years ago

5 0

Bart because he lost the least

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What expression is equivalent to ^3 square root of 2y^3 times 7 square root of 18y

Mumz [18]

Answer:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Step-by-step explanation:

The question is poorly formatted.

Given

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Required

Derive an equivalent expression

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Express 18 as 9 * 2

$\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}$

Split the expression as follows:

$\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}$

Take positive square root of 9

$\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}$

$\sqrt[3]{2y^3} * 21 * \sqrt{2y}$

$21*\sqrt[3]{2y^3} * \sqrt{2y}$

The cube root can be rewritten to give:

$21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}$

$\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y$

So, we have:

$21*\sqrt[3]{2} * y * \sqrt{2y}$

Rewrite as:

$21y *\sqrt[3]{2} * \sqrt{2y}$

Split $\sqrt{2y$

$21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}$

Collect Like Terms

$21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}$

Represent in index form

$21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}$

Apply law of indices

$21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }$

$21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}$

$21*y^{\frac{3}{2}} *2^{\frac{5}{6}}$

$21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Hence:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

6 0

3 years ago

Please help me as soon as possible

elixir [45]

You might want to see what other people say but I think that it is 40

5 0

4 years ago

Read 2 more answers

Charles has already broken 14 eggs, and he's breaking eggs at a rate of 12 per minute. Louis has already broken 22 eggs, and he'

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Answer:

4 minutes - |12 x 4 = 48| |48 + 14 = 62| Charles = 62

10 x 4 = 40| 40 + 22 = 62

Step-by-step explanation:

If he has 14 all we have to do is keep multiplying 12 by x and 10 by x add them to their correct person until Charles has more eggs broken then Louis

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3 years ago

Yesterday, Mary had n baseball cards. Today, she gave 18 away. Using n , write an expression for the number of cards Mary has le

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n-18

Step-by-step explanation:

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3 years ago

In ΔUVW, u = 480 cm, v = 180 cm and ∠W=120°. Find the length of w, to the nearest centimeter.

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Answer:

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Step-by-step explanation:

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3 years ago