Question

If √0.04×0.4×a=0.4×0.04×√b then find the ratio a/b

Answer 1

√(4/100)x(4/10)xa=4x(4/100)√b

squaring both sides,
(16/1000) a=(16/100)b
a/b = 1000/10=10/1
=10:1

Answer 2

Answer: Required ratio would be

a/b = 1:10

Step-by-step explanation:

Since we have given that

√0.04×0.4×a=0.4×0.04×√b

Squaring both sides

0.04×0.4×a = 0.16×0.0016×b

0.016×a = 0.016 × 0.0016√b

a/b= 0.0016/0.016

a/b = 1/10

Hence, required ratio would be

a/b = 1:10