Question

If 1176 x a = b cubed then a=?

Answer 1

Answer:

Answer:

a = 3 , b = 1 , c = 2

Explanation:

_____________________

Fundamental theorem of arithmetic:

Every composite number can be expressed as product of prime unique way.

__________________________

Resolve 1176 into product of

prime .

2| 1176

_________

2| 588

_________

2| 294

_________

3| 147

_________

7| 49

_________

*****7

1176 = 2³ × 3¹ × 7²

Now,

$1176 = 2^a ×3^b ×7^c$

$\implies\ 2^3× 3^1× 7^2 = 2^a ×3^b ×7^c$

Compare both sides, we get

a=3 , b = 1 , c = 2

••••••

Answer 2

Answer:

We can write

1176 as 2^3 × 3^1 × 7^2

So a = 3, b = 1, c = 2