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  1. Let's simplify 75 by removing all perfect squares from inside the square root. We start by factoring 75, looking for a perfect square: 75 = 5 × 5 × 3 = 5 2 × 3. We found one! This allows us to simplify the radical: 75 = 5 2 ⋅ 3 = 5 2 ⋅ 3 = 5 ⋅ 3 So 75 = 5 3.

    How to simplify square roots (review) (article) | Khan Academy

    www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:simplifying-square-roots/a/simplifying-square-roots-review
    www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-r…
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    How do you simplify 75?
    Let's simplify 75 by removing all perfect squares from inside the square root. 75 = 5 × 5 × 3 = 5 2 × 3 . We found one! This allows us to simplify the radical: 75 = 5 2 ⋅ 3 = 5 2 ⋅ 3 = 5 ⋅ 3 So 75 = 5 3 . Want another example like this? Check out this video. Simplify. Remove all perfect squares from inside the square root.

    How to simplify square roots (review) (article) | Khan Academy

    khanacademy.org
    What is the square root of 75?
    The square root of 75 can be written as √75. It means that there is a number a such that a × a = 75. It can also be written as: a 2 = 75. The square root of any number has two values; one is positive and the other is negative. So, √75 = +8.66 or - 8.66 We know that 75 = 5 × 5 × 3. In the simplest radical form √75 = 5√3

    How to Find the Square Root of 75? - Cuemath

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    What is 75 5 3?
    75 = 5 × 5 × 3 = 5 2 × 3 . We found one! This allows us to simplify the radical: 75 = 5 2 ⋅ 3 = 5 2 ⋅ 3 = 5 ⋅ 3 So 75 = 5 3 . Want another example like this? Check out this video. Simplify. Remove all perfect squares from inside the square root. Want to try more problems like these? Check out this exercise.

    How to simplify square roots (review) (article) | Khan Academy

    khanacademy.org
    How to calculate 75 as a dividend?
    Step 1: Express 75 as 75.000000 . We take the number in pairs from the right. Take 75 as the dividend. Step 2: Now find a quotient which is the same as the divisor. Multiply quotient and the divisor and subtract the result from 75. Step 3: Now double the quotient obtained in step 2.

    How to Find the Square Root of 75? - Cuemath

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  3. Mathway
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    • Khan Academy
      https://www.khanacademy.org/math/al…

      How to simplify square roots (review) (article) | Khan …

      WEBLearn how to rewrite square roots (and expressions containing them) so there's no perfect square within the square root. For example, rewrite √75 as 5⋅√3. See examples, practice problems and comments.

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    • Symbolab
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    • Cuemath
      https://www.cuemath.com/algebra/squa…

      How to Find the Square Root of 75? - Cuemath

      WEBLearn how to find the square root of 75 by different methods and its simplified form. The square root of 75 is an irrational number and its simplified form is 5√3.

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      WEBEnter a fraction below to simplify or reduce it to the simplest form. The calculator shows all of the steps to simplify a fraction to its lowest terms.

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    • Microsoft Math Solver
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