Find the square root of the following expressions
256(x - a)⁸ (x - b)⁴ (x - c)¹⁶ (x - d)²⁰

Find the zeroes of the quadratic expression x² + 8x + 12

Write down the quadratic equation in general form for which sum and product of the roots are given below.
9, 14

Solve x² - 3x - 2 = 0

Draw the graph of y = 2x² and hence solve 2x² - x - 6 = 0

Draw the graph of y = x² + 4x + 3 and hence find the roots of x² + x + 1 = 0

The sum of two numbers is 15. If the sum of their reciprocals is \(\frac{3}{10}\), find the numbers.

A two digit number is such that the product of its digits is 12. When 36 is added to the number the digits interchange their places. Find the number.

Seven years ago, Varun's age was five times the square of Swati's age. Three years hence Swati's age will be two fifth of Varun's age. Find their present ages.

A chess board contains 64 equal squares and the area of each square is 6.25 cm², A border round the board is 2 cm wide.