Prove that square root of 2 plus square root of 3 is irrational

A textbook store sold a combined total of 440 physics and sociology textbooks in a week. The number of sociology textbooks sold was 54 less than the number of physics textbooks sold. How many textbooks of each type were sold?

An airplane flew 2,400 miles in 4 hours. if the plane flew the same number of miles each hour, how many miles did the plane fly in 1 hour?

What is the width of a rectangle with an area of 300 square feet and a length of? feet? (Connected to last question)

A 10-foot ramp must make an angle of 30° with the ground if it is to reach a certain window. What angle must a 15-foot ramp make with the ground to reach the same window?

Which set of numbers could represent the lengths of sides of a right triangle? A) 7, 9, 11 B) 10, 15, 20 C) 12, 18, 22 D) 8, 15, 17

How do you find a side length of a cube with the surface area of one face (64cm)

The sum of 2 numbers is 17 the difference is 3 what are the two numbers

What is the y intercept of f (x) = 2x^2+8x+6

When would you add in an expression?

Julio practiced a 7th day during the week. The mean number of minutes he practiced over all 7 days was 45 minutes. How many minutes did julio practice on the 7th day?