divide and simplify the radical
(3+ sqrt18)/4 sqrt12
I'm not sure how to conjugate the denominator?
3 answers
repartir 152 entre A,B,C de modo que la parte de B sea 8 menos que el duplo de la de A y 32 mas que la de C
(3+√18) / 4√12
= (3+3√2) / 8√3
= 3√3 (1+√2) / 24
= (1+√2)√3 / 8
= (√3+√6)/8
or several other ways to express it
= (3+3√2) / 8√3
= 3√3 (1+√2) / 24
= (1+√2)√3 / 8
= (√3+√6)/8
or several other ways to express it
B = 2A-8
B = C+32
A+B+C = 152
C = B-32 = 2A-8-32
A + 2A-8 + 2A-40 = 152
5A - 48 = 152
5A = 200
A=40
B=72
C=40
B = C+32
A+B+C = 152
C = B-32 = 2A-8-32
A + 2A-8 + 2A-40 = 152
5A - 48 = 152
5A = 200
A=40
B=72
C=40
3 answers