Subject: Mathematics
Book: Maths Mastery
Radical simplification often involves extracting perfect squares from under the radical sign. For √72, note 72 = 36 × 2, so √72 = √(36×2) = √36 × √2 = 6√2. More complex operations can include rationalizing denominators, e.g., 1 / √5 can be written as √5 / 5 by multiplying numerator and denominator by √5. Proficiency with radicals appears in geometry (Pythagorean distances), advanced algebra, and real-world measurements requiring root approximations. Frequent practice with factorization and rationalization ensures you handle square roots, cube roots, or higher-order radicals with confidence.
If a:b = 5:7 and b:c = 6:11, what is a:c?
View QuestionWhat is the length of the diagonal of a square with a side length of 7 cm?
View QuestionThe sum of the squares of two consecutive integers is 145. What are the integers?
View QuestionA sum triples in 20 years at simple interest. What is the rate of interest per annum?
View QuestionIf x^2 + 4x + 4 = 0, what is the value of x?
View QuestionThe base of a triangle is 10 cm and its height is 6 cm. What is its area?
View QuestionA man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?
View QuestionWhat is the LCM of 15 and 20?
View QuestionIf the product of two numbers is 120 and their sum is 26, what are the numbers?
View QuestionIf a+b = 10 and ab = 21, what is the value of a^3 + b^3?
View Question