Answer

Verified

422.1k+ views

Hint: Observe the unit’s digit of the given number, and think of a number whose cube will have that digit as its unit digit. Next step is to hide the 2 digits in the left and consider the first 2 digits of the number, think of a number whose cube will be less than the number given in the question.

Complete step-by-step answer:

46656 – Here the unit digit is 6.

Therefore, the unit digit of the cube root is 6. $\left[ {{6^3} = 216} \right]$

After striking out the last three digits from the right, the number left is 46.

Now, ${3^3} = 27 < 46\,and\,{4^3} = 64 > 46$

Therefore, the ten’s digit of the cube root is 3.

Therefore, $\sqrt[3]{{46656}} = 36$

Option A is the correct answer.

Note: Cube of a number is a number when we multiply the number with itself thrice. To find the cube root the first step should be to focus on the last digit and then the first two digits.

Complete step-by-step answer:

46656 – Here the unit digit is 6.

Therefore, the unit digit of the cube root is 6. $\left[ {{6^3} = 216} \right]$

After striking out the last three digits from the right, the number left is 46.

Now, ${3^3} = 27 < 46\,and\,{4^3} = 64 > 46$

Therefore, the ten’s digit of the cube root is 3.

Therefore, $\sqrt[3]{{46656}} = 36$

Option A is the correct answer.

Note: Cube of a number is a number when we multiply the number with itself thrice. To find the cube root the first step should be to focus on the last digit and then the first two digits.

Recently Updated Pages

The branch of science which deals with nature and natural class 10 physics CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts

Assertion CNG is a better fuel than petrol Reason It class 11 chemistry CBSE

How does pressure exerted by solid and a fluid differ class 8 physics CBSE

Number of valence electrons in Chlorine ion are a 16 class 11 chemistry CBSE

What are agricultural practices? Define

What does CNG stand for and why is it considered to class 10 chemistry CBSE

The rate of evaporation depends on a Surface area b class 9 chemistry CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

State whether the following statement is true or false class 11 physics CBSE

A night bird owl can see very well in the night but class 12 physics CBSE