Question

2次根式啊 (1)根号24 乘 根号27 (2)根号6 乘 (-根号15) (3)根号18 乘 根号20 乘 根号75 (4)根号3² 乘

2次根式啊 (1)根号24 乘 根号27 (2)根号6 乘 (-根号15) (3)根号18 乘 根号20 乘 根号75
(4)根号3² 乘 4² 乘 5

二.
(1)根号18 除 根号8 (2)2倍根号5分之4倍根号15
(3)根号1倍3分之2 除 根号6分之5 (4) 3倍根号xy分之2倍根号x²y

三.化简....
(1)根号4乘49 (2) 根号300 (3)根号49分之9 (4)根号4c²分之a²b

Answer 1

(1)√24*√27
=2√3*3√3
=6*√3*√3
=6*3
=18

(2)√6 * (-√15)
=-√6*√15
=-√2*√3*√3*√5
=-3√10

(3)√18*√20*√75
=3√2*2√5*5√3
=30√2*√5*√3
=30√30

(4)√3² 乘 4² 乘 5
=3*16*5
=240

二.
(1)√18/√8
=3√2/2√2
=3/2

(2)2倍根号5分之4倍根号15
=2√(4/5)*4√15
=2*2√(1/5)*4√15
=16√(1/5)*√5*√3
=16√3

(3)根号1又3分之2 除 根号6分之5
=√(5/3)/√(5/6)
=√(5/3)*√(6/5)
=√[(5/3)*(6/5)]
=√2

(4) 3倍根号xy分之2倍根号x²y
=2√x^2y/3√xy
=2x√xy/3√xy
=2x/3

三.化简....
(1)根号4乘49
=2*7
=14

(2) 根号300
=10√3

(3)根号49分之9
=3/7

(4)根号4c²分之a²b
=a√b/2c

Answer 2

(1)√24*√27
=2√3*3√3
=6*√3*√3
=6*3
=18

(2)√6 * (-√15)
=-√6*√15
=-√2*√3*√3*√5
=-3√10

(3)√18*√20*√75
=3√2*2√5*5√3
=30√2*√5*√3
=30√30

(4)√3² 乘 4² 乘 5
=3*16*5
=240

二.
(1)√18/√8
=3√2/2√2
=3/2

(2)2倍根号5分之4倍根号15
=2√(4/5)*4√15
=2*2√(1/5)*4√15
=16√(1/5)*√5*√3
=16√3

(3)根号1又3分之2 除 根号6分之5
=√(5/3)/√(5/6)
=√(5/3)*√(6/5)
=√[(5/3)*(6/5)]
=√2

(4) 3倍根号xy分之2倍根号x²y
=2√x^2y/3√xy
=2x√xy/3√xy
=2x/3

三.化简....
(1)根号4乘49
=2*7
=14

(2) 根号300
=10√3

(3)根号49分之9
=3/7

(4)根号4c²分之a²b
=a√b/2c 明白了吗？加油好好学呀！