Question

simplify : √0.09×√0.16​

Answer 1

Answer:

√0.09 × √0.16 = 0.12

Step-by-step explanation:

We have,

√0.09 × √0.16

We know that,

0.09 = (9/100)

0.16 = (9/100)

And,

√(a/b) = √a/√b

Using the above information,

√0.09 × √0.16

= √(9/100) × √(16/100)

= (√9/√100) × (√16/√100)

We know that,

√9 = 3

√16 = 4

√100 = 10

So,

= (√9/√100) × (√16/√100)

= (3/10) × (4/10)

= (3 × 4)/(10 × 10)

= 12/100

= 0.12

Hence,

√0.09 × √0.16 = 0.12

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