Answer:
Add and Subtract:
7√12 + 3√45-2√5 = (7√12) + (3√45) - (2√5) = (7√12) + (3√59) - (2√5) = 7√12 + 27√5 - 2√5 = 7√12 + 25√5 = (7+5) √12 + (55) √5 = 12√12 + 25√5
Study multiplication of radicals:
a. Examples of pair of radicals with same and different order:
Same order: √3 * √5 = √15
Different order: √3 * √4 = √12
b. To perform multiplication of radicals, follow these steps:
Simplify the radicals (if possible)
Multiply the numbers that are outside of the radical sign (coefficient)
Multiply the numbers that are inside of the radical sign
Combine the result and simplify if possible
For example: √3 * √4 = (√3)(√4) = √(3*4) = √12
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Answers & Comments
Answer:
Add and Subtract:
7√12 + 3√45-2√5 = (7√12) + (3√45) - (2√5) = (7√12) + (3√59) - (2√5) = 7√12 + 27√5 - 2√5 = 7√12 + 25√5 = (7+5) √12 + (55) √5 = 12√12 + 25√5
Study multiplication of radicals:
a. Examples of pair of radicals with same and different order:
Same order: √3 * √5 = √15
Different order: √3 * √4 = √12
b. To perform multiplication of radicals, follow these steps:
Simplify the radicals (if possible)
Multiply the numbers that are outside of the radical sign (coefficient)
Multiply the numbers that are inside of the radical sign
Combine the result and simplify if possible
For example: √3 * √4 = (√3)(√4) = √(3*4) = √12