###### Advertisements

###### Advertisements

Find the cube-root of `343/512`

###### Advertisements

#### Solution

`(343)/(512)`

= `root(3)(343/512)`

= `sqrt(7 xx 7 xx 7)/sqrt(8 xx 8 xx 8)`

= `(7)/(8)`

#### APPEARS IN

#### RELATED QUESTIONS

Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?

Find the cubes of the number 55 .

Which of the following is perfect cube?

64

By which smallest number must the following number be divided so that the quotient is a perfect cube?

8640

By which smallest number must the following number be divided so that the quotient is a perfect cube?

1600

Write the units digit of the cube of each of the following numbers:

31, 109, 388, 833, 4276, 5922, 77774, 44447, 125125125

By taking three different values of *n* verify the truth of the following statement:

If *n* is odd, then *n*^{3} is also odd.

Multiply 210125 by the smallest number so that the product is a perfect cube. Also, find out the cube root of the product.

Find the cube root of the following integer −5832 .

Find if the following number is a perfect cube?

24000

Find if the following number is a perfect cube.

1938

Find the least number by which 1323 must be multiplied so that the product is a perfect cube.

Find the smallest number by which 27783 be multiplied to get a perfect square number.

Find the cube-root of 729.

Find the cube-root of 9261.

Find the cube-root of 3375.

Find the cube-root of 64 x 729

Find the cube-root of 64 x 27.

Find the cube-root of 3375 x 512

Find the cube-root of `(-512)/(343)`

Find the cube-root of -2197.

Find the cube-root of -2744000

Find the cube-root of 0.000027

Find the cube-root of - 15.625.

Find the cube-root of -125 x 1000

Find the cube-root of 700 × 2 × 49 × 5.

Find the cube-root of 250.047

Find the cube-root of -175616

The smallest number to be added to 3333 to make it a perfect cube is ___________

The cube of 0.0012 is 0.000001728

The cube root of 250047 is 63

Show that 1944 is not a perfect cube

Find the smallest number by which 10985 should be divided so that the quotient is a perfect cube

Find the smallest number by which 200 should be multiplied to make it a perfect cube

Find the cube root 24 × 36 × 80 × 25

What is the square root of cube root of 46656?

If the cube of a squared number is 729, find the square root of that number

Find two smallest perfect square numbers which when multiplied together gives a perfect cube number

Evaluate: `root(3)(27) + root(3)(0.008) + root(3)(0.064)`