Answer:Q1. The values of a and b cannot be determined from the given information. To find the values of a and b, additional information is needed to solve the equation √2+2√3 = (a + b√6)/(2√2+√3).
Q2. To find the length and breadth of a rectangle, you need to factor the polynomial expression 6x² - 29x + 30. Then, you need to identify two numbers that multiply to 30 and add up to -29. The expression 6x² - 29x + 30 can be factored as (2x - 5)(3x - 6). The length of the rectangle is 2x - 5, and the breadth is 3x - 6. The perimeter of the rectangle is (2 * length) + (2 * breadth) = 2(2x - 5) + 2(3x - 6) = 4x + 4.
Explanation:
Q1. The values of a and b cannot be determined from the given information. To find the values of a and b, additional information is needed to solve the equation √2+2√3 = (a + b√6)/(2√2+√3).
Q2. To find the length and breadth of a rectangle, you need to factor the polynomial expression 6x² - 29x + 30. Then, you need to identify two numbers that multiply to 30 and add up to -29. The expression 6x² - 29x + 30 can be factored as (2x - 5)(3x - 6). The length of the rectangle is 2x - 5, and the breadth is 3x - 6. The perimeter of the rectangle is (2 * length) + (2 * breadth) = 2(2x - 5) + 2(3x - 6) = 4x + 4.