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ahrayia [7]
3 years ago
13

What is the radical form of x with the exponent of 1.5

Mathematics
1 answer:
cestrela7 [59]3 years ago
7 0

Answer:

\sqrt[2]{x^3}

Step-by-step explanation

First thing you should do is change the decimal into a fraction,

In this problem you have one whole plus a half. So you can rewrite that into 1\frac{1}{2}. Which is the same thing as \frac{3}{2}

<em>Why  \frac{3}{2} ?</em>

<em>Because one whole number is the same as \frac{1}{1},\frac{2}{2},\frac{3}{3},\frac{4}{4},\frac{5}{5} since all of those numbers divided by themselves equals to one. You'll take \frac{2}{2} and add it with \frac{1}{2}.</em>

<em>  </em>

Now since we have x^\frac{3}{2}, THE DENOMINATOR WILL BECOME THE SQUARE ROOTS NUMBER, AND THE NUMERATOR WILL BE EXPONENT.

So it becomes, \sqrt[2]{x^3}

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How do you find A to C?
Artemon [7]

Answer:

7√3

Step-by-step explanation:

Pythagorean Theorem

a² + b² = c²

7² + b² = 14²

b² = 14² - 7²

b² = 196 - 49

b = √147

7√3

<h2>BRAINLIEST please if this helped!</h2>
5 0
3 years ago
Read 2 more answers
Please help!! 10 points
hichkok12 [17]

Answer:

We conclude that:

\:\sqrt[3]{200k^{15}}=2k^5\sqrt[3]{25}

Hence, option B is correct.

Step-by-step explanation:

Given the expression

\sqrt[3]{200k^{15}}

Apply radical rule:

\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0

so the expression becomes

\sqrt[3]{200k^{15}}=\sqrt[3]{200}\sqrt[3]{k^{15}}

first solving

\sqrt[3]{k^{15}}

Apply radical rule: \sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0

\sqrt[3]{k^{15}}=k^{\frac{15}{3}}=k^5

then solving

\sqrt[3]{200}

prime factorization:  200:  2³ · 5²

=\sqrt[3]{2^3\cdot \:5^2}

Apply radical rule:

\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0

=\sqrt[3]{2^3}\sqrt[3]{5^2}

Apply radical rule:  

\sqrt[n]{a^n}=a,\:\quad \:a\ge 0

so

=2\sqrt[3]{5^2}

Thus, the main expression becomes

\sqrt[3]{200k^{15}}=\sqrt[3]{200}\sqrt[3]{k^{15}}

              =2k^5\sqrt[3]{25}

Therefore, we conclude that:

\:\sqrt[3]{200k^{15}}=2k^5\sqrt[3]{25}

Hence, option B is correct.

3 0
3 years ago
What number would you multiply (6x-y+4) by so that the result is an equivalent expression to (3x+9x)-(2y-8) Be sure to enter you
frozen [14]

Answer:

2

Step-by-step explana

 (6x-y+4)*2= 12x -2y+8= (3x+9x)-(2y-8)

3 0
3 years ago
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777dan777 [17]
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Find the slope of the given line. Please see attached photo. Thank you
valentinak56 [21]

Answer:

<u>-2</u>

Step-by-step explanation:

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