To simplify the expression 5√8 × 3√4, we can combine the radicals under the same radical sign and then multiply the coefficients (outside the radical sign) together.
√8 can be simplified as √(4 × 2) = 2√2, since 4 is a perfect square factor.
√4 can be simplified as √(4) = 2, since 4 is a perfect square.
Now, we have 5(2√2) × 3(2).
Multiplying the coefficients: 5 × 3 × 2 = 30.
Multiplying the radicals: 2√2 × 2 = 4√2.
Therefore, 5√8 × 3√4 simplifies to 30√2.
5√8×3√4
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