Question

Cube root of 0.003375​

Answer 1

Answer:

Hence, the cube root of the decimal number \[0.003375\] is equal to \[0.15\].Here we need to find the cube root of the decimal number 0.003375

Step-by-step explanation:

Here we need to find the cube root of the decimal number 0.003375

.

Now, we will first express the decimal number as the fraction with a numerator and denominator.

We can write 0.003375

as

0.003375=33751000000

Now, we will find the cube root of the numerator and denominator using the factorization method.

We will first write the numerator and denominator as products of the factors.

We know that 3375=5×5×5×3×3×3

and 1000000=10×10×10×10×10×10

. Therefore,

⇒0.003375=5×5×5×3×3×31000000

Now, we will pick out the factors which have occurred 3 times in the numerator and denominator.

We can see that 5 and 3 has occurred 3 times in the numerator and 100 has 3 times in the denominator.

Therefore, the cube root of the decimal number 0.003375

is equal to

⇒0.003375−−−−−−−√3=5×5×5×3×3×310×10×10×10×10×10−−−−−−−−−−−−−−−−−−−−−−−√3=5×310×10

Now, we will multiply the numbers in numerator and denominator.

⇒0.003375−−−−−−−√3=15100

Now, we will again write this fraction as a decimal number.

⇒0.003375−−−−−−−√3=0.15

Hence, the cube root of the decimal number 0.003375

is equal to 0.15

.

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Answer 2

0.00000000000000003337775