⁞ Square Roots And Cubes
Aptitude ➤ Square Roots And Cubes ➤ 1
Square Root: If x2 = y, we say that the square root of y is x and we write, √y = x.
Thus, √4 = 2, √9 = 3, √196 = 14.
Cube Root: The cube root of a given number x is the number whose cube is x. We denote the cube root of x by 3√x.
Thus, ∛8 = ∛2 x 2 x 2 = 2,
∛343 = ∛7 x 7 x 7 = 7 etc.
Note:
1.√xy = √x X √y
2. √(x/y) = √x / √y = (√x / √y) X (√y / √y) = √xy / y
Thus, √4 = 2, √9 = 3, √196 = 14.
Cube Root: The cube root of a given number x is the number whose cube is x. We denote the cube root of x by 3√x.
Thus, ∛8 = ∛
∛343 = ∛
Note:
1.√xy = √x X √y
2. √(x/y) = √x / √y = (√x / √y) X (√y / √y) = √xy / y
Question 6
Q6. Find the greatest number of five digits which is a perfect square.
Answer : 99856
Greatest number of 5 digits is 99999.
∴ Required number = (99999 - 143) = 99856.
⚔ DISCUSS
Question 7
Q7. Find the least square number which is exactly divisible by 10, 12, 15 and 18.
Question 8
Q8. A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:
Question 9
Q9. How many two-digit numbers satisfy this property : The unit digit of the square of the two-digit number is 8 ?
Question 10
Q10. A man plants 15376 apple trees in his garden and arranges them so that there are as many rows as there are apples trees in each row. The number of rows is :
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