Converting radicals to mixed radicals

Converting radicals to mixed radicals

In this session, we will learn how to convert radicals to mixed radicals. When the content inside the radical sign is a number, you can do the conversion by performing prime factorization. We will also learn how to do the conversion when the content inside the radical sign is a variable.
Basic Concepts: Estimating square roots, Square and square roots, Cubic and cube roots, Evaluating and simplifying radicals
Related Concepts: Operations with radicals, Conversion between entire radicals and mixed radicals, Solving radical equations

Lessons

  • Introduction
    a)
    How to simplify radicals?

  • 1.
    Convert the following radicals to mixed radicals
    a)
    18 \sqrt{18}

    b)
    1088 \sqrt{1088}

    c)
    -245 \sqrt{45}

    d)
    (7/11)1250 \sqrt{1250}

    e)
    34162 {^4}\sqrt{162}

    f)
    25−192 {^5}\sqrt{-192}

    g)
    -429a4b8 \sqrt{29a^4b^8}

    h)
    23250a13 {^3}\sqrt{250a^{13}}

Do better in math today
Get Started Now
3.
Surds
3.1
Square and square roots
3.2
Cubic and cube roots
3.3
Evaluating and simplifying radicals
3.4
Converting radicals to mixed radicals
3.5
Converting radicals to entire radicals
3.6
Adding and subtracting radicals
3.7
Multiplying and dividing radicals
3.8
Rationalize the denominator
AS-Level Maths
Don't just watch, practice makes perfect