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Simplify the the square root of 150 in simplest form.

6 times the square root of 3 plus the square root of 3.

2 times the square root of 54 plus the dquare root of 24.

The square root of 72x to the seventh divided by 2 times the square root od 6x to the third.

The square root of 4a over 3, which is a fraction minus 2=6.

2007-06-05 07:31:50 · 8 answers · asked by Gianfi 2 in Science & Mathematics Mathematics

8 answers

1. sqrt(150) = sqrt(25*6)=5sqrt(6)
2. 7sqrt(3)
3. 2(sqrt(54)= sqrt(9*6)=3sqrt(6))
sqrt(24)= sqrt(6*4) =2sqrt(6)
ans 8sqrt(6)

2007-06-05 07:54:15 · answer #1 · answered by xandyone 5 · 0 1

1] square root of 150 =5 *sqrt 6
2] 6 times the square root of 3 plus the square root of 3=7 times the square root of 3
3] 2 times the square root of 54 plus the square root of 24=2 times 3 times the square root of 6 plus 2 times the square root of 6=8 times the square root of 6
and so on

2007-06-05 14:39:37 · answer #2 · answered by pioneers 5 · 0 0

150 = 6*25 so square root of 150 = 5* square root 6

6 times square root of 3 plus square root of 3 = 7 square root 3

square root of 54 = 3*square root6 and square root of 24 = 2*square root of6 so their sum is 5square root of 6

can not the other

2007-06-05 14:40:54 · answer #3 · answered by maussy 7 · 0 0

1. 150^2 =5x sq root of 6

2. 7 times the square root of 3

3. 2 times sq root of 54=6 times sq root of 6
sq root of 24=2 times sq root 0f 6
so adding we get 8 times the sq root of 6

4. square root of 72x to the seventh=(6 times sq root of 2x)/7
2 times the square root of 6x to the third
dividing we get
9/7 times the sq root of 1/3

5. square root of 4a over 3=2 times sq root of a/3
subtracting 2 we get
2( sq root of a/3-1)

2007-06-05 14:47:29 · answer #4 · answered by sweet n simple 5 · 0 0

sqrt(150) = sqrt(25)sqrt(6) = 5sqrt(6)

6sqrt(3) + sqrt(3) = 7sqrt(3)

2sqrt(54) + sqrt(24) = 2sqrt(9)sqrt(6) + sqrt(4)sqrt(6) = 2(3)sqrt(6) + 2sqrt(6)
= 6sqrt(6) + 2sqrt(6) = 8sqrt(6)

sqrt(72x^7) / 2sqrt(6x^3) = (1/2)sqrt( 72x^7 / 6x^3 ) = (1/2)sqrt(12x^4)
= (1/2)sqrt(4x^4)sqrt(3) = (1/2)(2x^2)sqrt(3) = x^2sqrt(3)

sqrt(4a) / 3 - 2 = 6
sqrt(4a) / 3 = 8
sqrt(4a) = 24
(sqrt(4a))^2 = 24^2
4a = 576
a = 144

2007-06-05 14:48:49 · answer #5 · answered by mathjoe 3 · 0 0

5*sqrt6
7*sqrt3
8*sqrt6
the 4th one isn't clear if the 2 is raised to the third power or just the sqrt of 6x
and I really don't follow the last one, hope the first 3 are helpful.

2007-06-05 14:40:09 · answer #6 · answered by cj k 4 · 0 0

sqrt150
=sqrt(25*6)
=5 sqrt6
2.6sqrt3+sqrt3=7sqrt3
3.2sqrt54+sqrt24
=2sqrt(9*6)+sqrt(4*6)
=6sqrt6+2sqrt6
=8sqrt6

2007-06-05 14:42:12 · answer #7 · answered by alpha 7 · 0 0

a) 12.2
b)12.12
dnt no the others sorry

2007-06-05 14:37:27 · answer #8 · answered by youdidnotjustsaythat 5 · 0 0

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