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lesya692 [45]
2 years ago
13

What is the following product

Mathematics
1 answer:
Genrish500 [490]2 years ago
4 0

For this case we must find the product of the following expression:

\sqrt [3] {5} * \sqrt {2}

By definition of properties of powers and roots we have:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

We rewrite the expression using the lowest common index of 6, then:

5 ^ {\frac {1} {3}} * 2 ^ {\frac {1} {2}} =

We rewrite the terms in an equivalent way:

5 ^ {\frac {2} {6}} * 2 ^ {\frac {3} {6}} =

We rewrite the expression using the property mentioned:

\sqrt [6] {5 ^ 2} * \sqrt [6] {2 ^ 3} =

We combine using the product rule for radicals:

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

So:

\sqrt [6] {5 ^ 2 * 2 ^ 3} =\\\sqrt [6] {25 * 8} =\\\sqrt[6]{200}

ANswer:

Option b

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Answer:

25/13

Step-by-step explanation:

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2 years ago
I need the help for number 7 plz help me as soon as possible plz help me
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B

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you need to divide both 15 and 25 by 5

15 divided by 5 = 3

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Jerry deposited 20,000 on an investment that will give 1,750 for every year that his money stays in the account. How much money
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Answer:

$34,000

Step-by-step explanation:

Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:

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By the end of year 8 there will be $34,000 of Jerry's account.

3 0
2 years ago
How far would a runner that ran 200 meters in minute run in 3 minutes at the same rate?
loris [4]

Answer:

I think 200x3

Step-by-step explanation:

200x3 = 600

7 0
2 years ago
Read 2 more answers
Problem 1.1
Vesna [10]

Answer:

Step-by-step explanation:

1 table and 2 chairs (2-seat table)

1 table and 4 chairs (4-seat table)

120 people so we need 120 chairs

Some Possibilities  :

120 /4 = 30

0( 2-seat table) and 30 (4- seat tables) because 0·2 + 30·4 = 0+120 = 120

2( 2-seat table) and 29 (4- seat tables) because 2·2 + 29·4 = 4+ 116= 120

4( 2-seat table) and 28 (4- seat tables) because 4·2 + 28·4 = 8+ 112= 120

...

120/2 = 60

60( 2-seat table) and 0 (4- seat tables) because 60·2 + 0·4 = 120 + 0 = 120

58( 2-seat table) and 1 (4- seat tables) because 58·2 + 1·4 = 116 + 4 = 120

56( 2-seat table) and 2 (4- seat tables) because 56·2 + 2·4 = 112 + 8 = 120

...

5 0
2 years ago
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