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2 years ago

15

What is the value of the expression ?

1 answer:

Lerok [7]2 years ago

4 0

1st you distribute whats outaide the fractions 2/3*6 and 2/3*5/6 which would be 4 and 5/9 and then subtract those which would be 4/1 - 5/9 To make denomantor the same you would multiply 4/1 by 9 so it would be 36/9- 5-9= 31/9 which converts to 3 4/9. so your answer is 3 4/9

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Read 2 more answers

Nady [450]

$\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}$

<h2>Explanation:</h2>

Here we have the following expression:

$3\sqrt{22}\sqrt{58}\sqrt{18}$

So we need to simplify that radical expression. By property of radicals we know that:

$\sqrt[n]{a}\sqrt[n]{b}=\sqrt[n]{ab}$

So:

$3\sqrt{22}\sqrt{58}\sqrt{18}=3\sqrt{22\times 58 \times 18}=3\sqrt{22968}$

The prime factorization of 22968 is:

$22968=2^3\cdot 3^2\cdot11\cdot 29$

Hence:

$3\sqrt{22968}=3\sqrt{2^3\cdot 3^2\cdot11\cdot 29}=3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29}$

By property:

$\sqrt[n]{a^n}=a$

So:

$3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29} \\ \\ 3(2)(3)\sqrt{2\cdot 11\cdot 29}=18\sqrt{638}$

Finally:

$\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}$

<h2>Learn more:</h2>

Radical expressions: brainly.com/question/13452541

#LearnWithBrainly

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3 years ago

The ratio of boys to girls in the sixth grade are 2:3. If there are 200 sixth graders, how many of them are boys?

Likurg_2 [28]

Answer:

80

Step-by-step explanation:

2:3

2+3=5

2/5×200=80

3 0

3 years ago