+546 sqrt-5 times sqrt5
cubed sqrt-5 times cubed sqrt-25
cubed sqrt9 times cubed sqrt-24
cubed sqrt-12 times cubed sqrt-18
sqrt50 times sqrt75
+128578 1. √(-5)*√(-25) = ( i √5 ) ( i √25 ) = i2 ( √5 ) (5 ) = -1 (5) √5 = - 5 √5
2. We can write this as...... (√-5))3 * ( √-25)3 = ( i * √5))3 * ( i * √25)3 =
i6 ( √5 )3 * ( 5 )3 = -1 (5√5) (125) = -625√5 (remember Nataszaa.. i6 = i2 * i 2 * i 2 = -1 * -1 * -1
= -1)
3. (√9) 3 * √( -24) 3 = (3) 3 * ( i √(4 * 6) )3 = 27 i 3 (2 √6) 3 = -27 i * 8 (√6) 3 = 216i (√6) 3 =
(216 i ) (6) (√6) = 1296 i √6 = 1296√6 i
4. (√-12) 3 * √( -18) 3 = i 3 * (2 √ 3) 3 * i 3 * (3 √ 2 ) 3 = i 6 (8) (√3) 3 * (27) * (√2) 3 =
-1 (216) * (3) * √3 * 2 * √2 = -1296√6
5. √50 * √75 = √(50*75) = √(25 * 2 * 25 * 3) = 25 √6
+128578 1. √(-5)*√(-25) = ( i √5 ) ( i √25 ) = i2 ( √5 ) (5 ) = -1 (5) √5 = - 5 √5
2. We can write this as...... (√-5))3 * ( √-25)3 = ( i * √5))3 * ( i * √25)3 =
i6 ( √5 )3 * ( 5 )3 = -1 (5√5) (125) = -625√5 (remember Nataszaa.. i6 = i2 * i 2 * i 2 = -1 * -1 * -1
= -1)
3. (√9) 3 * √( -24) 3 = (3) 3 * ( i √(4 * 6) )3 = 27 i 3 (2 √6) 3 = -27 i * 8 (√6) 3 = 216i (√6) 3 =
(216 i ) (6) (√6) = 1296 i √6 = 1296√6 i
4. (√-12) 3 * √( -18) 3 = i 3 * (2 √ 3) 3 * i 3 * (3 √ 2 ) 3 = i 6 (8) (√3) 3 * (27) * (√2) 3 =
-1 (216) * (3) * √3 * 2 * √2 = -1296√6
5. √50 * √75 = √(50*75) = √(25 * 2 * 25 * 3) = 25 √6
