Converting radicals to entire radicals

Converting radicals to entire radicals

An entire radical has all of its content inside the radical sign. Therefore, converting radicals to entire radicals essentially means bring everything outside of the radical sign back into the radical sign. If exponents are involved, power of a power rule is your best friend!
Basic concepts: Square and square roots, Cubic and cube roots, Evaluating and simplifying radicals, Converting radicals to mixed 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 entire radical
    a)
    315 \sqrt{15}

    b)
    -235 \sqrt{35}

    c)
    327\frac{3}{2}\sqrt{7}

    d)
    -443 {^4}\sqrt{3}

    e)
    4a3 {a^3} b3ab \sqrt{3ab}

    f)
    -53x2 {^3}\sqrt{x^2}

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7.
Roots and Rational Exponents
7.1
Square and square roots
7.2
Converting radicals to mixed radicals
7.3
Converting radicals to entire radicals
7.4
Evaluating and simplifying radicals
7.5
Rational exponents
7.6
Power of a power rule
7.7
Combining the exponent rules
Precalculus
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