2017年2月2日 · A denominator is rationalized when there are no irrational or imaginary numbers in it. Since the square root of 2 is irrational, we just need to multiply the fraction by the square root of 2 over the square root of 2. 2 10 Multiply the fraction by the square root of 2 over the square root of 2. 2 ∗ 2 10 2 Simplify. 2 10 2 5 2

Step 1: we begin by understanding that the cosecant (csc) of an angle in a right triangle is the length of the hypotenuse divided by the length of the side opposite the angle. step 2: a 45-degree angle forms a special right triangle known as isosceles right triangle (or a 45-45-90 triangle) where the two non-right angles are equal to 45 degrees. in this triangle, the side lengths are in the ...

2023年9月5日 · In this case, the diagonal d is given as 10 2 centimeters. Rearrange the formula to find the side length: To find the side length, we can rearrange the formula: s = 2 d Substituting the given value: s = 2 10 2 = 10 cm. Calculate the area: The area A of the square can be calculated using the formula: A = s 2 Substituting the side length: A = 1 0 ...

2020年12月9日 · To expand 5 (10 + 2 ), multiply 5 by each term inside the parentheses and simplify the result to get 5\sqrt{2} + \sqrt{10}. Explanation: To expand and simplify the expression 5 (10 + 2 ), you must apply the distributive property which involves multiplying the square root of 5 by each term inside the parentheses.

2023年11月1日 · Calculate the value of 9.8 10 2 : 9.8 10 2 ≈ 9.8 14.14 ≈ 1.44. Take the square root of 1.44: 1.44 ≈ 1.20. Finally, multiply by 2 π: T ≈ 2 π × 1.20 ≈ 7.54 sec ≈ 2 π sec. Thus, the time period of the particle is approximately 2 π seconds. This calculation indicates that the correct choice among the given options is: A) 2 π sec

2023年8月12日 · First, we need to simplify the square roots: The square root of 12 is 2 times the square root of 3, √10 is the square root of 2 multiplied by √5, and √2 remains as is. After that, the expression becomes (2√3 + √2√5 - √2). From this, it's clear that the result is not zero, nor a negative number, as all the values are positive. Also ...

2024年12月18日 · 3 5 x 2 − 10 + 7 = 4. We'll solve it step by step: Isolate the radical: Subtract 7 from both sides to isolate the radical expression. 3 5 x 2 − 10 = 4 − 7. 3 5 x 2 − 10 = − 3. Divide by 3: Divide both sides by 3 to further isolate the radical. 5 x 2 − 10 = − 1. Eliminate the radical expression: Raise both sides to the 5th power to ...

2024年10月4日 · To solve the problem of multiplying (10 + 2 8 ) (10 − 2 8 ), we can use the difference of squares formula. The formula states that: (a + b) (a − b) = a 2 − b 2. In this expression, a is 10 and b is 2 8 . Let's apply this formula step by step: Calculate a 2: a = 10 a 2 = (10 ) 2 = 10. Calculate b 2: b = 2 8 b 2 = (2 8 ) 2 = 4 ⋅ (8 ) 2 ...

2017年6月21日 · This results in the expression (-3+sqrt(5))/(-2). Explanation: To find the simplest form of the expression, we need to rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator.

2020年5月31日 · The simplified expression after you multiply** **(square root 10 + 2 square root 8)( square root 10 - 2 square root 8) is -6. What is simplified expression after you multiply? To solve the given expression that needs you to multiply, let's first simplify the individual terms: Square root of 10: √10. Square root of 8: √8 = √(4 x 2) = 2√2