# Khan/khan-exercises

New exercise: Multiplying radicals

1 parent a474924 commit 3fbf84f9fd781cfb4c1c733045f20a2ef0624580 smenks13 committed with marcia Oct 31, 2011
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+ shuffle([2, 3, 5, 7, 11, 13]) +
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+ randRange( 2, 12 ) + randRange( 2, 5 ) + PRIMES[0] + pow( RADICAL_INT, 2 ) * RADICAL_PRIME +
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Simplify the following expression:

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pow( START_INT, 2 ) * RADICAL_TOTAL
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First, try to factor a perfect square out of the radical.

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= START_INT\sqrt{pow( RADICAL_INT , 2 ) \cdot RADICAL_PRIME}

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Separate the radical and simplify.

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= START_INT\sqrt{pow( RADICAL_INT , 2 )} \cdot \sqrt{RADICAL_PRIME}

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+ randRange( 2, 12 ) + PRIMES[0] * PRIMES[1] +
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Simplify the following expression:

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pow( START_INT, 2 ) * RADICAL_TOTAL
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There are no perfect-square factors of RADICAL_TOTAL.

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Thus, the expression is already in its most simplified form.

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