All categories

3 years ago

Which of the following is equal to the square root of the cube root of 6 ?

Mathematics

2 answers:

lubasha [3.4K]3 years ago

6 0

Answer:

6 to the power of 1 over 6

Bess [88]3 years ago

3 0

Answer:

The correct option is 4.

Step-by-step explanation:

The given interpretation is square root of the cube root of 6. The mathematical expression is

$\sqrt{\sqrt[3]{6}}$

It can be written as

$((6)^{\frac{1}{3})^{\frac{1}{2}}$

Using the property of exponent, we get

$(6)^{\frac{1}{3}\times \frac{1}{2}}$ $[\because (x^m)^n=(x)^{mn}]$

Now simplify the power.

$(6)^{\frac{1}{6}}$

The simplified form of given expression is 6 to the power of 1 over 6. Therefore the correct option is 4.

You might be interested in

Consider the functions below.<br> f(x) = x² - 6x - 27<br> g(x) = x - 9

aleksklad [387]

Correct answer: 1) (f/g)(x)

Solution: f(x)=x^2-6x-27=(x+3)(x-9)

3 0

1 year ago

HELP ASAPJennifer and Chris completed some chores and split the earnings in the ratio 3:2. Jennifer earned $48.

elixir [45]

Let the total earnings be = x

Jennifer and Chris split the earnings in the ratio 3:2

Jennifer earned = $48

$\frac{3x}{5}=48$

$3x=240$

x=80

Hence total earnings are $80

(a) Chris earning is = $\frac{2x}{5}=\frac{2*80}{5}=32$

Hence, Chris earns $32

(b) Jennifer spends 30% of her earnings on a book.

So, price of the book = $\frac{30}{100}\times48$

Price of book = $14.40

(c) Jennifer also buys a magazine for = $5.40

So, total money Jennifer spent on book and magazine = 14.40+5.40=19.80

Money left with Jennifer = 48-19.80= $28.20

In fractions = $\frac{28.20}{48}$

or multiplying the numerator and denominator by 10, we get

$\frac{282}{480}$ = $\frac{47}{80}$

(d) Let the original price of the shirt = x

reduction percentage on x= 40%

Price paid after reduction = 16.80

$\frac{40x}{100}=16.80$

$40x=1680$

$x=42$

Hence, the original price of the shirt was $42.

8 0

3 years ago

Factor completely: 10ax + 5bx - 8ay - 4by

kiruha [24]

The answer is (5x - 4y)(2a + b)

10ax + 5bx - 8ay - 4by = 10ax + 5bx - (8ay + 4by) =<span>
= 5x * 2a + 5x * b - (2a * 4y + b * 4y) =
= 5x(2a + b) - 4y(2a + b) =
= (5x - 4y)(2a + b)</span>

4 0

2 years ago

Big Lots sells AA batteries for $ 5.88 you git a pack of 12. Walmart has the same batteries for $8.82 you git a pack of 18 batte

Bas_tet [7]

Answer: Neither, Both Unit Prices are equal.

Step-by-step explanation: In order to find the unit price of an item, you divide the quantity by the price. In this case, the Big Lots would be 5.88/12 which equals 49 cents. The Walmart Batteries are 8.82/18 which is also 49 cents. So both batteries are the same price, you should buy the better quality battery in this situation.

6 0

3 years ago

Kari is on a trip to Italy. She has made a list of cities she would like to tour while she is there, as well as how much she exp

Amanda [17]

Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

<h3>What are Units conversions?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,

Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69

= €398.31

Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,

$\rm Total\ cost = \dfrac{398.31 }{0.6859} = \$\ 580.72$

The amount that is left with Kari,

$\rm \text{Amount left with Kari} = (Budget\ of\ Kari)-(Total\ cost)$

$= \$585-\$580.72\\\\=\$4.28$

Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,

$\text{Cost of visiting Genoa} = \dfrac{60.85}{0.6859}=\$88.72$

Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

Learn more about Units conversion:

brainly.com/question/4736731

3 0

2 years ago