Category Archives: square number

Find the number of square feet of floor space on the first floor of the clinic.?

A rectangular veterinary clinic has a volume in cubic feet, (the space in the attic is not counted). x3 + 35×2 + 550x + 2000 The height of the clinic is x + 5 feet. Find the number of square … Continue reading

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Estimate the number of sq feet (square footage) in the two rooms if one room measures 10 ½ feet by 9 ¾ feet; a?

Sam needs to get carpet for two rooms of his house. Estimate the number of square feet (square footage) in the two rooms if one room measures 10 ½ feet by 9 ¾ feet; and the other room measures 19¼ … Continue reading

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Proof – The Square Root of 2 is Irrational

A classic proof by contradiction that the square root of 2 is an irrational number. We assume that the square root of 2 equals a rational number p/q in lowest terms, and deduce a contradiction. Duration : 0:7:17

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The square of a positive number decreased by 10 is 2 more than 4 times the number. What’s the number?

Another couple of questions:Twice the square of a certain positive number is 144 more than twice the number. What is the number?? When the dimensions of a 2cm x 5cm rectangle were increased by eaqual amounts, the area was increased … Continue reading

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Square One TV: But Who’s Counting?

Game show sketch where the object is to come up with the largest possible sum from five randomly selected digits. Once you put your number on the board, you can’t move it! Duration : 0:5:39

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How to find the opposite of a square number?

So you know that 12 squared equals 144. But how would you find out that 144 equals 12? But how do you know the sqaure root of 144 is 12? How can you figure that out mathematically? there is a … Continue reading

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Is there a perfect square number that is also a sum of perfect squares?

400 is a perfect square, and it is the sum of four perfect squares (100)

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How do you divide a whole number by a square root of that number?

How would you divide 15 by the square root of 15? I certainly know how to divide a squ. root by a square root, but I’m not sure how to divide a lone number by a square root. Help? This … Continue reading

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Fighter jets form number 65 in skies over Red Square

Around twenty Russian Air Force units practiced their routine to get ready for the Victory Day parade taking place in the capital on May 9th. 21 Russian fighter jets the Sukhoi-25 and the MIG-29 has performed a unique air trick, … Continue reading

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How can you prove algebraically that the sum of 2 consecutive triangle numbers is a square number?

Triangle numbers have formula n(n + 1)/2 Therefore sum of two consecutive triangle numbers = n(n + 1)/2 + (n + 1)(n + 2)/2 I’ll leave you to show that is a perfect square.

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