PROBLEMS INVOLVING SQUARE ROOTS WORKSHEET

Problem 1 :

If √x + √y = 4√y,  where x > 0 and y > 0, what is x in terms of y?

A) 16y         B) 9y          C) 6y       D) 4y

Solution

Problem 2 :

What is one possible value of x for which the function g above is undefined?

Solution

Problem 3 :

If x > 0 and a = 2 in the equation above, what is the value of x?

A) 4           B) 5            C) 6         D) 7

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

What is the solution set for the equation above?

Solution

Problem 7 :

If a = 5√2 and 2a = √2x, what is the value of x?

Solution

Problem 8 :

The given equation relates the distinct positive real numbers w, x and y. Which equation correctly expresses w in terms of x and y?

Solution

Problem 9 :

If x ≠ 0, for what real value of x is the equation above true?

Solution

Problem 10 :

A right triangle has sides of length 2√2, 6√2 and √80 units. What is the area of the triangle, in square units?

A) 8√2 + √80      B) 12       C) 24√80          D) 24

Solution

Problem 11 :

A) 2       B) 3            C) 4      D) 5

Solution

Problem 12 : 

For what value of x is the function g above undefined?

Solution

Problem 13 :

A) 0        B) 2           C) 6      D) 12

Solution