it is the whole thing inside the parentheses. and how do i type square root sign in here?
2006-10-20 21:12:40 · 12 answers · asked by Oliver Twist 2 in Science & Mathematics ➔ Mathematics
[±(a + b√3)]² = a² + 3b² + 2ab√3
So need to find 2 numbers such that
a² + 3b² = 21
2ab = 12 → ab = 6
Try 3, 2
a² + 3b² = 3² + 3 . 2²
= 9 + 12 = 21
Thus √(21 + 12√3) = ±(3 + 2√3)
2006-10-20 21:30:57 · answer #1 · answered by Wal C 6 · 0⤊ 0⤋
When multiplying sqrt you multiply what is inside the sqrt and what is out side as if they were different, also sqrt and squared cancel each other out, when you have teh same thing under the sqrt and you are adding then you can just add whats on the outside as if it were a variable: 1) (5 sqrt 6) * (2x sqrt 6) = 5*2x sqrt (6*6) = 10x sqrt(36) = 10x * 6 = 60x 2) sqrt 12 * (sqrt (3xy)^2)= sqrt ( 4*3) * 3xy= 3xy sqrt (4) * sqrt (3) = 3xy* 2 * sqrt 3 = 6xy sqrt 3 3) (4 sqrt 3) * (-5 sqrt 21) = 4 * (-5) sqrt ( 3 * 21)= -20 sqrt ( 63 ) = -20 sqrt ( 9 * 7) = (-20)* 3 sqrt 7 = -60 sqrt 7 4) (5 sqrt 45) * (x^3)*(y^2)* (sqrt 5x) = (5 x^3 y^2) * sqrt ( 45 * 5 x)= (5 x^3 y^2) sqrt (225x) = (5 x^3 y^2) sqrt( 25 * 9 * x) = (5 x^3 y^2) * 5 * 3 sqrt x= 75 x^3 y^2 sqrt x 5) sqrt 24 + sqrt 54 = sqrt ( 4* 6) + sqrt ( 9 * 6) = 2 * sqrt 6 + 3 * sqrt 6= 5 sqrt 6
2016-05-22 07:11:20 · answer #2 · answered by Anonymous · 0⤊ 0⤋
using a CASIO CFX-9850GB Plus GDC (Graphics Display Calculator) and with the syntax "sqrt(21+12*sqrt(3))" i obtained a result of 6.464101615. You cannot type a square root sign using your keyboard. In most programming languages and in Matlab the square root operation is given by "sqrt". You can however copy the square root symbol from 'Windows Character Map'. Go to Start --> Programs --> Accessories --> --> System Tools ---> Character Map
2006-10-20 21:25:17 · answer #3 · answered by The Big S 2 · 0⤊ 0⤋
21+12=33
then the square root of 3 is 1.732
so, 33 x 1.732 = 57.156
2006-10-21 00:49:03 · answer #4 · answered by the walking brother 2 · 0⤊ 0⤋
6.464101615 square root sign go to Tools/symbols in microsoft word mate.
2006-10-20 21:18:37 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Now,
sqrt[21 + 12times sqrt(3)]
= sqrt(21 + 1.0958)
= sqrt (22.0958)
= 4.7
The answer to your problem is 4.7
2006-10-20 22:24:42 · answer #6 · answered by aazib_1 3 · 0⤊ 0⤋
sqrt(21 + 12sqrt(3)) = 6.4641
from your character map,
.._________
√21 + 12√3
2006-10-20 21:36:37 · answer #7 · answered by Helmut 7 · 0⤊ 0⤋
21+12sqrt3=3^2+(2sqrt3)^2+2*3*2sqrt3
=(3+2sqrt3)^2
so ur answer is (+/-) [3+2sqrt3].
2006-10-21 00:21:23 · answer #8 · answered by Anonymous · 0⤊ 0⤋
that'd be 6.46 approximately
2006-10-20 21:21:28 · answer #9 · answered by Rob Zombie 2 · 0⤊ 0⤋
i ll tell the answer. but u have to **** first
2006-10-20 21:17:17 · answer #10 · answered by Anonymous · 0⤊ 2⤋