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Work out 5^-2 x 3 square root 8

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Final answer:

To evaluate 5⁻² x 3 √8, we first simplify 5⁻² to 1/25, and find that 3 √8 is equivalent to 6√2. Multiplying these together yields the answer 6√2/25.

Step-by-step explanation:

To solve the mathematical expression 5⁻² x 3 √8, we first address each part of the expression individually.

The term 5⁻² is the same as 1/5², which simplifies to 1/25. Next, the term 3 √8 involves finding the square root of 8, and then multiplying the result by 3.

The square root of 8 is 2√2, hence 3 √8 simplifies to 3 x 2√2, or 6√2.

Multiplying these two simplified expressions, 1/25 x 6√2, gives us 6√2/25, which is the final simplified form of the original expression.

User Scott Hanselman
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