Equation &Problems Involving Radicals

Equation &Problems Involving Radicals

by Venus Daydayan

Multiple Choice

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

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Multiple Choice

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

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• 15 cm

• 11 cm

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Multiple Choice

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

• 7

• 28

• 49

• 14

Multiple Choice

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?"   

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Multiple Choice

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

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Multiple Choice

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

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•     $$16\ =\ 3.14x^2$$  
  

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•    $$16\ =\ \frac{1}{2}x^2$$
  

Multiple Choice

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

•   $$8\ cm$$

•     $$4\ cm$$  
  

•     $$64\sqrt{2}\ cm$$  

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Multiple Choice

The length of 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?

•   $$8\ miles$$

•     $$6\ miles$$  
  

•     $$36\ miles$$  
  

•     $$6\sqrt{2\ }\ miles$$

Multiple Choice

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

• $$10\ inches$$  

•    $$20\ inches$$  
  

•    $$2\sqrt{10}\ inches$$
  

•    $$10\sqrt{2}\ inches$$

Multiple Choice

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%