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Simplify the expression. (10)/(√(2)+√(7) )
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Simplify the expression.


(10)/(√(2)+√(7) )

User SlimenTN
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Answer:

Explanation:


(10)/(√(2)+√(7))=(10*(√(2)-√(7)))/((√(2)+√(7))*(√(2)-√(7)))\\\\=(10*(√(2)-√(7)))/((√(2))^(2)-(√(7))^(2))\\\\=(10*(√(2)-√(7)))/(2-7)\\\\=(10*(√(2)-√(7)))/(-5)\\\\=-2*(√(2)-√(7))\\\\= -2√(2)+2√(7)

Hint: (a + b)(a -b)= a² - b²

(√2+√7)(√2-√7)=(√2)²-(√7²) = 2 - 7 = -5

User Deltab
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