James B.

asked • 12/06/16

Simplifying with radicals

In Algebra I am given the following problem:

Simplify: 6√(8) + 5√(12) x 3√(2) x 4√(3)

Please help me.

1 Expert Answer

By:

Andrew M. answered • 12/06/16

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Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

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Remember that order of operations says multiplication
comes before addition:
 
6√8 + 5√12 x 3√2 x 4√3
 
= 6(2√2) + 5(2√3)x3√2 x 4√3
 
= 12√2 + 5(2)(3)(4)(√3)(√3)(√2)
 
= 12√2 + 120(3)(√2)
 
= 12√2 + 360√2
 
= 372√2
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Andrew M.

There are several ways you could approach this.
Another way is to combine the roots.
 
6√8 + 5√12 x 3√2 x 4√3
= 6√(4(2)) + 5(3)(4)√((12)(2)(3))
= 6(2√2) + 60√((36)(2))
= 12√2 + 60(6√2)
= 12√2 + 360√2
= 372√2
 
 
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12/06/16

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