Question

Look at the calendar of the current month. Find out which dates are square numbers and which dates are cube numbers.

: Now find the square-roots and cube-roots of these dates.​

Answer 1

Given:

Look at the calendar of the current month. Find out which dates are square numbers and which dates are cube numbers.

To Find:

find the square-roots and cube-roots of these dates.​

Solution:

The current month we are taking is January, it has a total of 31 days, we need to first find out the numbers which are squares and cubes of a number, let's start by writing the squares and cubes till 31,

The squares till 31 are,

1^2=1

2^2=4

3^2=9

4^2=16

5^2=25

6^2=36

So the squares are 1, 4, 9, 16, and 25 only,

The cubes till 31 are,

1^3=1

2^3=8

3^3=27

4^3=64

So the cubes are 1, 8, and 27 only,

The square roots and cubes roots of them will be 1,2,3,4 and 5.

Hence, the square and cube are listed and when the square and cube root is taken we get only 1,2,3,4,5.

Answer 2

Dates Square numbers are 1 , 4 , 9 , 16 and 25

Dates cube numbers are 1 , 8 and 27

Square root of Square dates are 1 , 2 , 3 , 4 and 5

Cube root of cubed dates are 1 , 2 and 3

Given:

• Calendar of current Month ( Jan 2022)

To Find:

• Dates which are Square numbers
• Dates which are Cube numbers
• Square root and cube root of these dates

Solution:

Square of a  = a² = a × a

Cube of  a  = a³ = a × a × a

Current Month is Jan which has 1 - 31 Days

Step 1:

Square dates are

1 , 4 , 9 , 16 , 25

Step 2:

Cube dates are

1 , 8 , 27

Step 3:

Fine Square root of  Square dates 1 , 4 , 9 , 16 , 25

√1  = √1 * 1  = √1²   = 1

√4 = √2 * 2 = √2²  = 2

√9 = √3 * 3 = √3²  = 4

√16 = √2 * 2 * 2 * 2 = √2² * 2²  = 2 * 2 = 4

√25 = √5 * 5 = √5²  =5

Step 4:

Fine cube root of   dates 1 , 8,  27

√1  = √1 * 1* 1   = √1³   = 1

√8 = √2 * 2* 2 = √2³  = 2

√27 = √3 * 3 * 3 = √3³  = 3