Which of the following is the simplified form of (2+√5)(5-√7)?
A.10+2√35
B.10+7√5-√35
C.10+3√35
D.10-2√7+5√5-✓35
A.10+2√35
B.10+7√5-√35
C.10+3√35
D.10-2√7+5√5-✓35
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Answer:
D.
Step-by-step explanation:
(2+√5)(5-√7)
Multiply each term in the first parentheses by each term in the second parentheses (FOIL)
=2 × 5 - 2√7 + 5√5 - √5√7
Multiply the numbers
=10 - 2√7 + 5√5 - √5√7
Calculate the product
=10 - 2√7 + 5√5 - √35