Multiply and simplify. (2√5 - √10)*(5√2 + √10)

asked Dec 6, 2023 221k views

12 votes

Multiply and simplify.
(2√5 - √10)*(5√2 + √10)

by Jool

8.5k points

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11 votes

Answer:

=10√(10)+10√(2)-10√(5)-10

Explanation:

(2√(5) -√(10))(5√(2)+√(10))

$=2√(5)\cdot5√(2)+2√(5)√(10)-5√(2)√(10)-√(10)√(10)$

=10√(10)+2√(50)-5√(20)-10

$=10√(10)+2√(25 \cdot 2)-5√(4 \cdot5)-10$

=10√(10)+2√(25)√(2)-5√(4)√(5)-10

$=10√(10)+2\cdot5√(2)-5\cdot2√(5)-10$

=10√(10)+10√(2)-10√(5)-10

ShaneKm answered Dec 12, 2023