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  2. Simplifying Square Roots When not a Perfect Square

    study.com/academy/lesson/simplifying-square-roots-when-not-a-perfect-square.html

    The proper mathematical way to write imperfect square roots is by simplifying them as much as possible without using a fraction or a decimal. This will result in numbers like the following: 4√2 ...

  3. Simplifying Square Root Expressions | Steps & Examples

    study.com/.../lesson/simplifying-complex-expressions-containing-square-roots.html

    Simplifying square roots of variables works about the same way as it does with numbers. Just like you can factor numbers, variables with exponents can also be factored. For example, x ^4 is the ...

  4. Simplifying Square Roots | Overview & Examples - Lesson -...

    study.com/academy/lesson/simplify-square-roots-of-quotients.html

    1. Fully simplify the following expression involving square roots: 2. Use the quotient rule for radicals to simplify the following square root expression: 3. Completely simplify the quotient of ...

  5. How to Simplify a Square Root | Algebra | Study.com

    study.com/skill/learn/how-to-simplify-a-square-root-explanation.html

    Simplifying a Square Root Example 2. Simplify the following expression: 150. Step 1: Find the prime factors of the number inside the radical sign. Prime factors of 150 are 5 × 5 × 2 × 3. Step 2 ...

  6. Square Root of a Number | Adding, Multiplying & Simplifying

    study.com/academy/lesson/adding-square-roots.html

    Square roots can be simplified by lowering the base number. This can help when adding square roots. With {eq}12\sqrt {18}+9\sqrt {12} {/eq}, the square root is not a whole number. It is somewhere ...

  7. Simplifying Complex Expressions That Contain Square Roots

    study.com/.../simplifying-complex-expressions-that-contain-square-roots.html

    Let's look at an example. To simplify 5 + i + the square root of -36 we first simplify the square root of -36. To do this, we first split the square root of -36 into the square root of -1 and the ...

  8. Simplifying Square Roots of Quotients - Study.com

    study.com/academy/practice/quiz-worksheet-simplifying-square-roots-of...

    Make sure to also read the partner lesson Simplify Square Roots of Quotients. This lesson will help you further absorb the nuances of the subject. The lesson covers the following objectives:

  9. How to Divide Radicals, Square Roots & Rational Expressions

    study.com/academy/lesson/dividing-radical-expressions.html

    144 3 18 3 = 144 18 3. Then divide 144 by 18: 144 3 18 3 = 144 18 3 = 8 3. As a final step, make sure that the quotient is completely simplified. Use prime factorization or powers of numbers to ...

  10. Simplifying Square Roots of Powers in Radical Expressions

    study.com/academy/lesson/simplifying-square-roots-of-powers-in-radical...

    For example, the square root of 25 is 5. 5 is a number that when multiplied to itself gives the specific number 25. This also means that the inverse of the square root is squared. When you square ...

  11. Simplifying the Square Root of 50 - Lesson - Study.com

    study.com/academy/lesson/simplifying-the-square-root-of-50.html

    Recall the definition of square roots. Any two identical factors of a number is a square root. For example, {eq}2\cdot2=4 {/eq}, or {eq}9\cdot9=81 {/eq}. ... Simplifying the square root of 50 ...