All categories

3 years ago

Which of the following is equal to the square root of the cube root of 5 ? (1 point)

Mathematics

1 answer:

Citrus2011 [14]3 years ago

3 0

Answer: Second Option

5 to the power of 1 over 6

Step-by-step explanation:

The square root of the cubic root of 5 is written as follows

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

Now use the following property of the roots

$\sqrt[m]{\sqrt[n]{x}}=\sqrt[m*n]{x}$

In this case $m = 2$ and $n=3$ and $x=5$

So we have that

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

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

Now use the following property

$\sqrt[n]{x^h}=x^{\frac{h}{n}$

So we have that:

$\sqrt[6]{5}=5^{\frac{1}{6}}$

The answer is the second option

5 to the power of 1 over 6

You might be interested in

Aisha and jordan start by making a floor plan for their treehouWhich revision of these two sentences best shows that the coach b

irina1246 [14]

Answer: Statements 1 and 2 shows that the coach blowing the whistle happened first.

Step-by-step explanation: The coach blowing the whistle as the first event can be seen only from statements 1 and 2 only.

From statement 1, "the referee blew the whistle" was followed by "the team ran onto the field."

From statement 2, "before the team ran onto the field" shows clearly that one event took place "BEFORE" the one being reported and the one that occurred before this one was "the referee blew the whistle."

Statement 3 which is "the referee blew the whistle, BUT..." indicates that the whistle was meant to prevent the team from from running onto the field. So if the referee blew the whistle, but the team ran onto the field, it means the whistle blowing was not supposed to make them run onto the field.

Statement 4, which states that "the referee blew the whistle BECAUSE the team ran onto the field" indicates that, the reason for blowing the whistle was because the team ran onto the field which clearly shows that the team ran onto the field first before the referee blew the whistle.

Statement 5, "WHILE the team ran onto the field..." clearly shows that both events took place at the same moment, and so the referee blowing the whistle could not have occurred first.

8 0

3 years ago

Someone help me please

galben [10]

Answer:

∛27 = 3

Step-by-step explanation:

A radical is simply a fractional exponent: $a^{(\frac{m}{n})} = \sqrt[n]{a^{m} }$

Hence, ∛27 = $27^{(\frac{1}{3})}$

Since 27 = 3³, then:

You could rewrite ∛27 as ∛(3)³.

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

Multiplying the fractional exponents (3 × 1/3) will result in 1 (because 3 is the <u><em>multiplicative inverse</em></u> of 1/3). The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.

Therefore, ∛27 = 3.

3 0

2 years ago

Read 2 more answers

What are the quotient and remainder of (3x^4+ 2x^2 - 6x + 1) /(x + 1)

quester [9]

Answer:

all work is shown and pictured

4 0

2 years ago

The color of any object depends upon which colors are reflected and absorbed. True or False?

SSSSS [86.1K]

Answer:

true

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

If 1 inch is 500 miles, then 4 inches is how many miles?

tiny-mole [99]

Answer:

2,000 miles

Step-by-step explanation:

We are given:

$1 inch=500 miles$

This can be rewritten as:

$\frac{500 miles}{1inch}$

This is representative of a unit rate, as we have a $1$ in the denominator. To calculate the number of miles in $4$ inches, simply multiply the unit rate by $4$ :

$\frac{500 miles}{1inch}*4=$

$\frac{2000 miles}{4 inches}$

This can rewritten as:

$4inches=2000miles$

Therefore, there are 2,000 miles in 4 inches.

We can check our solution by simplifying the fraction $\frac{2000 miles}{4 inches}$ by dividing both $2000$ and $4$ by $4$ to see if we achieve the unit rate:

$\frac{500 miles}{1 inch}$

Since this is in fact the unit rate, our solution is correct!

6 0

2 years ago

Read 2 more answers