Radicals are treated like variables. If you can do it with a variable, you can do it with a radical.
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√3 + √2 Compare: X + Y
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You cannot add X + Y, so you cannot add √3 + √2
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√3 x √2 Compare: XY
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You can multiply X and Y, so you can muliply √3 and √2 = √6
Simplify:
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1) √54 Break down the square root of 54 as follows: √9 √6 = 3√6
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2) √24
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3) √90
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4) √48
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5) 3√60
Add:
1) √35 + √28
2) √32 + 4√18
3) 10√8 + 5√2
Multiply:
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1) (√50) (√18)
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2) (2√12)(3√8)
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3) (9√45)(√6)(2√24)
Applications:
1. a. Find the perimeter of a rectangle that has a length of √12 and a width of √3.
Express your answer in simplest radical form.
b. Find the area of the same rectangle in simplest form.
2. The sides of a triangle have lengths √63, √175, and 2√7. Determine its perimeter in simplest radical form.
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