Solving Problems Involving Radical Equations

Quiz by Dave Remerata

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- Q1
Luis walks 5 km due east and 8 km due north. How far is he from the starting point?

√25 km

√64 km

√39 km

√89km

120s - Q2
Find the length of an edge of a cube given its surface area of 72 m

^{2}.2√3 m

√2 m

6√3 m

6√12 m

120s - Q3
A taut rope starting from the top of a flagpole and tied to the ground is 15 m long. If the pole is 7 m high, how far is the rope from the base of the flagpole?

11 √4 m

16√4 m

16 √11 m

4 √11 m

120s - Q4120s
- Q5
Five times the square root of 1 less than a number is equal to 3 more than the same number. Find the numbers.

-17 and -2

17 and 2

15 and 4

-15 and -4

120s - Q6
The square root of the sum of two consecutive odd integers is equal to 6. Find the larger integer.

18

16

17

19

120s - Q7
For an airplane flying above the earth, the approximate distance d (in miles) to the horizon is given by the equation d =√8000𝑎, where a is the altitude of the plane in miles. Determine the altitude of the plane if its distance to the horizon is 150 miles.

$4\backslash frac\{13\}\{16\}\backslash \; mi$

$1\backslash frac\{13\}\{16\}\backslash \; mi$

$3\backslash frac\{13\}\{16\}\backslash \; mi$

$2\backslash frac\{13\}\{16\}\backslash \; mi$

120s - Q8
The formula t = 1.11√𝐿 , gives the time t (in seconds) required for a pendulum of length L feet to swing through one back- and- forth- cycle. A grandfather’s pendulum completes one cycle in 1.28 seconds. To the nearest hundredths in feet, how long is the pendulum?

1.33 ft

1.23 ft

1.22 ft

1.63 ft

120s - Q9
Find the length of the side of a square if its diagonal is √2 cm.

1 cm

10 cm

2 cm

0.1 cm

120s - Q10120s
- Q11
A man walks 4 meters to the east going to school and then walks 10 meters northward going to the church. How far is he from the starting point?

4 √29 m

3√29 m

5 √29 m

2√29 m

120s - Q12
If each side of a square garden is increased by 4 m, its area becomes 144 m

^{2}. What is the length of the side of the original square garden?19 m

8 m

16 m

6 m

120s - Q13
A 26-foot ladder rests against a building and reaches a windowsill 24 feet above the ground. How far from the wall is the base of the ladder?

13 ft

12 ft

11 ft

10 ft

120s - Q14120s
- Q15
Find the number such that twice its square root is 14.

7

144

8

49

120s