, 03.08.2019gabyjr101

# Find all the real cube roots of -0.000125 a)0.0025 and -0.0025 b)-0.05 and 0.05 c)-0.05 d)0.0025

We calculate the cube root,

we know that

-0.000125> is equal to -125/1000000>(-5³/10^6)
∛(-5³/10^6) = -5/10^2> -5/100> -0.05

Find all the real square roots of -9/16.
= 3/4

Find all the real cube roots of -0.000125.
= -0.05

Simplify √(36g^6).

= 6 g^3

Simplify ∛(125x^21y^24).
= 5x^7y^8

Simplify √((27x^4)/(75y^2)).

3x^2

5y

The correct option is c.

Step-by-step explanation:

We have to find the cube roots of -0.000125.

It can be written as

Therefore option c is correct.

Answer : The real cube roots of -0.000125 is, -0.05

Step-by-step explanation :

Cube root : It is defined as the number which produces a given number when cubed.

For example :

3 cubed is 27, so the cube root of 27 is 3

We Can also cube negative numbers.

For example :

When we cube +5 we get, +125 :(+5) × (+5) × (+5) = +125

When we cube -5 we get, -125 : (-5) × (-5) × (-5) = -125

So, the cube root of -125 is, -5

As we are given the number -0.000125. Now we have to determine the real cube roots of this number.

Now taking cube root of this number, we get:

Thus, the real cube roots of -0.000125 is, -0.05

Step-by-step explanation:

We are given

Firstly, we will find factors of -0.000125

we can write as

now, we can replace it

now, we can simplify it

and we get

So,

c. -0.05

1)

2)

3)

4)

5)

Step-by-step explanation:

To find : The following expression

1) Find all the real square roots of -9/16.

There is no real roots because is an imaginary number

Therefore,

2) Find all the real cube roots of -0.000125.

There is a real roots.

Therefore,

3) Simplify

Therefore, simplified form is

4) Simplify

Therefore, simplified form is

5) Simplify

(Divide nr. and dr. by 3)

Therefore, simplified form is

-0.05

Step-by-step explanation:

This will become much easier if we can get the ugly decimal into a nice fraction form.

Start by recognising . This is almost correct except the fraction is out by some number of factors of 10 (because the 125 part is correct but the number of 0s isn't).

And hence we see that and now the cube root becomes easy to compute:

.

Advanced: You ask for all real cube roots. however the function is described as bijective. This means for all x, there is only one y corresponding to it. (And also for all y there is only one x corresponding to that). This means there can only ever be one cube root of any real number.

We have the value -0.000125

Since this is negative value the cube number cannot be positive since it will not give an negative answer

hence the answer should be a negative number

this already eliminates the option A, B and D

now we have

=-0.05 (option C)

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