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Okay Maths quiz! normal rules apply (first to answer question correctly gets to ask the next question, etc.):
1) √(5 + √(24)) = ? in exact surd form
1) √(5 + √(24)) = ? in exact surd form
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Originally posted by jcsd
Okay Maths quiz! normal rules apply (first to answer question correctly gets to ask the next question, etc.):
Those were both neat quiz questions I hope Hurkyl shows up presently, and awards Ahrkron an honor point for elegance
Originally posted by Integral
I agree with this. Mine is a brute force solutoion. Hurkyl arrived at the same conclusion with simple logic. Much nicer solution. Hurkyl, if you have a problem on the par with the ones posted so far, please post it. I would have trouble coming up with a good one.
Originally posted by ahrkron
My question is: if we take the bear out of the question, how many different ways can such a walk be achieved? explain!
This sentence is not correct. This line will intersect the circles at one point, which is the other intersection of the circles besides point A.This line will intersect the circles in two new points.
Originally posted by Hurkyl
Yes, Kam is right...
...half a second of brute force from a C++ program. I think I was getting the right idea when I was attacking it by hand, but I realized there were only 30 million or so possibilities and figured "why not?"
A surd is an irrational number that cannot be expressed as a ratio of two integers. It is usually represented by the symbol √, and includes numbers such as √2, √3, and √5.
To solve a surd puzzle, you need to simplify the surd by finding its square root and then simplifying any remaining factors. You can also use algebraic techniques such as rationalizing the denominator or using the conjugate to simplify the surd.
Some common properties of surds include the fact that they cannot be simplified into a rational number, they can be added, subtracted, multiplied, and divided like regular numbers, and they can be used to represent the sides of right triangles in geometry.
Surds are used in various fields such as engineering, physics, and finance. They are used to represent quantities that cannot be expressed as a rational number, and are often used in calculations involving measurements, such as calculating the area of an irregular shape or the length of a diagonal.
Some tips for solving surd puzzles include practicing simplifying surds, familiarizing yourself with common properties of surds, and using algebraic techniques such as rationalizing the denominator or using the conjugate to simplify the surd. It is also helpful to break down the puzzle into smaller parts and simplify each part individually.