Simplify 4 root 18/ root 12- 8 root 75/ root 32+9 root 2/root 3
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4 √18/ √12
= 4 √2×3×3 / √2×2×3
= 4×3√2 / 2√3
= 2×3√2 / √3
= 6√2 /√3
= 6√2 / 3 × √3 / √3
= 6√2×3 / ( √3 )²
= 6√6 / 3
= 2√6
8 √75 / √32
= 8√5×5×3 / √2×2×2×2×2
= 8×5√3 / 2×2√2
= 2×5√3 / √2
= 10√3 / √2
= 10√3 / √2 × √2 / √2
= 10√3×2 / ( √2 )²
= 10√6 / 2
= 5√6
9√2 / √3
= 9√2 / √3 × √3 / √3
= 9√2×3 / ( √3 )²
= 9√6 / 3
= 3√6
= 2√6 - 5√6 + 3√6
= 0
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