Expressions with brackets that accommodate surds can be assorted out or expanded.
Multiply out ((2 sqrt{5}) (3 sqrt{2}))
Each appellation in the aboriginal bracket has to be assorted by anniversary appellation in the additional bracket. One way to do this is to use a grid:
The four agreement cannot be simplified because anniversary of the surds has a altered cardinal central the aboveboard root, and none of the surds can be simplified.
[(2 sqrt{5})(3 sqrt{2}) = 6 2sqrt{2} 3sqrt{5} sqrt{10}]
The aforementioned adjustment can be acclimated if the numbers in the surds are the same:
Simplify absolutely ((5 – sqrt{3})(1 sqrt{3}))
[(5 – sqrt{3}) (1 sqrt{3})= 5 – sqrt{3} 5sqrt{3} – 3]
[= 4{sqrt{3}} 2]
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