Problems Involving Radicals

Which equation represent the problem: Find the number such that twice its square root is 14? 

•  $2\sqrt{x}\ =\ 14$ 
  

•   $\sqrt{2x}\ =\ 14$ 
  

•    $2\ +\sqrt{x}\ =\ 14$ 

•  $\sqrt{x\ +\ 2}\ =\ 14$   
  

Find the number such that twice its square root is 14.

• 7

• 28

• 49

• 14

Which equation represents the problem below?
"The shorter leg of a right triangle is 9 cm and the longer leg is 12 cm. How long is the hypotenuse?"   

•   $x^2\ =\ 12^2\ -\ 9^2$ 
  

•  $x^2\ +\ 12^2\ =\ 9^2$ 

•  $x^2\ =\ 9^2\ +\ 12^2$  

•   $x\ =\ 12^2\ +\ 9^2$  
  

The shorter leg of a right triangle is 9 cm and the longer leg is 12 cm. How long is the hypotenuse?

•  $3\sqrt{7}$  cm

• 15 cm

• 11 cm

•  $\sqrt{63}$ cm

What  formula can be used to solve the problem: "What is the length of the side of a square whose diagonal is 18cm?"

•  $A\ =\ s^2$  
  

•    $A\ =\pi r^2$  
  

•    $c^2\ =\ a^2\ +\ b^2$ 
  

•    $A=\ \frac{1}{2}bh$ 
  

 Which equation represent the problem: "What is the length of the side of a square whose diagonal is 16cm?"

•   $16\ =x^2$ 
  

•     $16\ =\ 3.14x^2$  
  

•     $16^2\ =\ x^2\ +\ x^2$  
  

•    $16\ =\ \frac{1}{2}x^2$ 
  

 What is the length of the side of a square whose diagonal is 16cm?

•   $8\ cm$ 
  

•     $4\ cm$  
  

•     $64\sqrt{2}\ cm$  
  

•     $8\sqrt{2}\ cm$ 
  

If a 3-storey building is 24 meters high, using the formula: $d\ =\sqrt{\frac{3h}{2}}$   For sight distance where d is the distance in miles and h is the height where the person is, how far can you see the building on a clear day?

•   $8\ miles$ 
  

•     $6\ miles$  
  

•     $36\ miles$  
  

•     $6\sqrt{2\ }\ miles$ 
  

Find the side of the square whose area is 200 square inches.

•  $10\ inches$  
  

•    $20\ inches$  
  

•    $2\sqrt{10}\ inches$ 
  

•    $10\sqrt{2}\ inches$ 
  

You have P1000 and want it to grow to P2,000 in 5 Years, what interest rate do you need? The formula is given where FV is future value, PV is is present value and n is the term in years.

• 1.48%

• 14.87%

• 0.14%

• 13.8%