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What is the product of the radical expression. (7-2square root) (8+2 square root)

2 Answers

4 votes

Answer:

54 -√2 (answer).

Explanation:

(7-2 square root) (8+2 square root)

= (7 - √2)(8 + √2)

= 7( 8 + √2) - √2(8 + √2)

= 56 + 7√2 - 8√2 - 2

= 54 -√2 (answer).

User Smt
by
5.2k points
5 votes

Answer:

54 - √2

Explanation:

(7 - √2)(8 + √2) = 7(8 + √2) - √2(8 + √2)

= 7×8 + 7√2 - 8√2 - √4

= 7×8 + (7√2 - 8√2) - √4

= 56 - √2 - 2

= 56 + 2 + 15√2

= 54 - √2

User Tadej Magajna
by
4.8k points