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0:00 6:19 Finding The Length Of A Hypotenuse In Simplest Radical Form - YouTube YouTube Start of suggested clip End of suggested clip Form now to find the length of any hypotenuse of a right triangle. We can use the pythagoreanMoreForm now to find the length of any hypotenuse of a right triangle. We can use the pythagorean theorem which is a squared plus b squared equals c squared.
If n is a positive integer that is greater than 1 and a is a real number then, n\u221aa=a1n. where n is called the index, a is called the radicand, and the symbol \u221a is called the radical. The left side of this equation is often called the radical form and the right side is often called the exponent form.
0:18 2:27 As side squared plus side squared equals hypotenuse squared okay that's the way i like to thinkMoreAs side squared plus side squared equals hypotenuse squared okay that's the way i like to think about it because in reality you're just taking the two sides.
2:01 8:16 If they tell us that the hypotenuse is equal to 8 radical 3 that means leg radical 2 equals 8MoreIf they tell us that the hypotenuse is equal to 8 radical 3 that means leg radical 2 equals 8 radical 3 we can just set this expression equal to the value that they give us.
3:33 4:56 Solve Applications Using the Pythagorean Theorem (c only) YouTube Start of suggested clip End of suggested clip Plus 15 squared equals 225 equals C squared 64 plus 225 equals 289 289 is equal to C squared toMorePlus 15 squared equals 225 equals C squared 64 plus 225 equals 289 289 is equal to C squared to solve for C we take the square root of both sides of the equation.
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1:02 3:44 So the square root of 45. And simplest radical form is three times the square root of. Five. Let'sMoreSo the square root of 45. And simplest radical form is three times the square root of. Five. Let's try another example. Once again we are going to start by breaking 180. Down into two factors.
0:03 1:50 How to Use the Pythagorean Theorem - YouTube YouTube Start of suggested clip End of suggested clip Here's how to use it. You will need a right triangle. The lengths of two sides and the calculator.MoreHere's how to use it. You will need a right triangle. The lengths of two sides and the calculator. Step 1 determine the lengths of the two short sides of a right triangle.
4:01 9:39 We will be solving for C. So we write it as 16 squared plus 30 squared is equal to C squared weMoreWe will be solving for C. So we write it as 16 squared plus 30 squared is equal to C squared we evaluate 16 squared and 30 squared 16 squared is 256. 30 squared is 900. We set that equal to C squared.
Radical Examples Example 1: Express 33/2 in radical form using radical formula. An expression that uses a root, such as a square root, cube root is known as a radical notation. Therefore, 33/2 in radical form is \u221a33 = \u221a27.
0:34 13:41 Using the Pythagorean Theorem: Square Roots - YouTube YouTube Start of suggested clip End of suggested clip And see Pythagorean theorem says that this length squared. So x squared is equal to the sum of theMoreAnd see Pythagorean theorem says that this length squared. So x squared is equal to the sum of the squares.

pythagorean theorem calculator with square root