Question

3. three numbers are in the 1:2:3. The sum of their cubes is 98784. Find the numbers.

ANSWERS THE QUESTION
QUESTIONS IN PHOTO AND WRITTEN IN THE PAGE.

✌️✌✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️​

Answer 1

Answer:

14,28,42

Step-by-step explanation:

Q3 let the no are

x,2x,3x

sum of cubes

=x³+8x3³+27x³=98784

36x³=98784

x³=98784/36=2744

x³=2×2×2×7×7×7=2³×7³

x=2×7=14

so the no are

14,28,42

==================================

Q1 ∛49×∛189

=∛49*189

=∛(7*7)*(7*27)

=∛7³×3³

=7*3=21

===========================

q2

∛(2.54+2a)⁶

a=0.23

=(2.54+2*0.23)^6/3

=(2.54+0.46)^2

=(3)^2=9

++++++++++++++++++++++++============

Q4

∛0.729/4.096 ÷√0.09/0.16

=∛729/1000/4096/1000 ÷√9/100/16/100

=∛729/4096÷√9/16

=∛9³/2¹² ÷3/4

=9/2⁴×4/3

=(9×4)/(16×3)

=3/4

===============================

q5

∛121*∛297

=∛121*297

=∛11*11*3*3*3*11

=∛11³*3³

=11*3=33

=============================

q6

x³=2197

x³=13*13*13=13³

x=13

so 2x=2*13=26