Question

a. -6radical3 inmultit cu (6radical2+4radical3-2radical5)=
b. 4radical3(radical27+radical75-radical243)=
c. radical108(radical288-radical648+radical450-radical1458)=

URGENT!!!!!! VA ROG.........................

Answer 1

a) 
 - 6√3 × ( 6√2 + 4√3 - 2√5) =
= - 36√6 - 24√9 + 12√15 =
= 12√15 - 36√6 - 24 × 3= 
= 12 ( √15 - 3√6 - 6)

b
4√3· ( √27 + √75 - √243) = 
= 4√3 ·√27  +  4√3·75 - 4√3·√243=
= 4√3√3³ + 4√3·√3·5² - 4√3·√3·9²=
= 4×3² + 4×3×5 - 4×3 ×9 = 
= 36 + 60 - 108 = 
 = 96 - 108 = 
= - 12
sau 
4√3 ( 3√3 + 5√3 - 9 √3)=
=4√3 · ( - √3)=
= - 4×3=
= - 12
c)
√108 ( √288 - √648 + √450 - √1458)=
=6√3 ·(√12²·2 -  √2·√2²·√9²+ √2·3²·5² - √2·3²·9³)=
=6√3 ( 12√2 - 18√2 + 15√2 - 27√2)=
=6√3 · (-18√2)=
= - 108√6

Answer 2

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