WebbSimplify a square root using the product property. Step 1. Find the largest perfect square factor of the radicand. Rewrite the radicand as a product using the perfect-square factor. Step 2. Use the product rule to rewrite the radical as the product of two radicals. Step 3. Simplify the square root of the perfect square. Example 9.13 Simplify: . WebbThe square root of 245 can be written as follows: The √ symbol is called the radical sign. To simplify the square root of 245 means to get the simplest radical form of √245. Step 1: List Factors List the factors of 245 like so: 1, 5, 7, 35, 49, 245 Step 2: Find Perfect Squares Identify the perfect squares * from the list of factors above: 1, 49
What is the Square Root of 245 in simplest radical form?
WebbThe thing about a square root of a fraction is that: sqrt (35/9) = sqrt (35)/sqrt (9) in other words, the square root of the entire fraction is the same as the square root of the numerator divided by the square root of the denominator. With that in mind, we can simplify the fraction: sqrt (35)/3 Webb8.1 Simplify Expressions with Roots. 8.2 Simplify Radical Expressions. 8.3 Simplify Rational Exponents. 8.4 Add, Subtract, and Multiply Radical Expressions. 8.5 Divide Radical Expressions. 8.6 Solve Radical Equations. 8.7 Use Radicals in Functions. 8.8 Use the Complex Number System. Imagine charging your cell phone is less than five seconds. dewa bathroom
Ch. 8 Introduction - Intermediate Algebra 2e OpenStax
WebbSimplified Radical Form of Square Root of 245 245 is expressed as the product of 49 and 5. It is given as: √ 245 = √ (49 × 5) = √ (7 × 7 × 5) = 7 √ 5 As we know, 5 is not a perfect square. Hence it stays within the root sign. 49 can be written as 7 × 7. The number repeated within square root is 7. Webb245 = 5 • 72 To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent. Factors which will be extracted are : 49 = 72 Factors which will remain inside the root are : 5 = 5 To complete this part of the simplification we take the squre root of the factors which are to be extracted. WebbAlgebra. Simplify 9 square root of 245. 9√245 9 245. Rewrite 245 245 as 72 ⋅5 7 2 ⋅ 5. Tap for more steps... 9√72 ⋅5 9 7 2 ⋅ 5. Pull terms out from under the radical. 9(7√5) 9 ( 7 5) Multiply 7 7 by 9 9. dewa bill account number