[tex] \sqrt{5} \times \frac{6}{20 \times 5 \times \frac{2}{6} } \times {6}^{2} \div \frac{6}{4} [/tex]
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[tex] \sqrt{5} \times \frac{6}{20 \times 5 \times \frac{2}{6} } \times {6}^{2} \div \frac{6}{4} [/tex]
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Answer:
The solution is 108/5√5
Step-by-step explanation:
√5 × 6/(20×5×2/6) × 6^2 ÷ 6/4
= √5 × 6/(20×5×2/6)× 6^2 × 4/6
= √5 × 6/(20×5×2/6)× 36 × 4/6
= √5 × (6×6)/(20×5×2) × 36 × 4/6
= √5 × 36/200× 36 × 4/6
= √5 × (36×36×4)/(200×6)
= √5 × (36×3)/25
= √5 × 108/25
= 108/5√5
Step-by-step explanation:
solution:
[tex] \sqrt{5} \times \frac{6}{20 \times 5 \times \frac{2}{6} } \times {6}^{2} \div \frac{6}{4 } \\ = \sqrt{5} \times \frac{6}{20 \times 5 \times \frac{2}{6} } \times {6}^{2} \times \frac{4}{6} \\ = \sqrt{5} \times \frac{6}{20 \times 5 \times \frac{2}{6} } \times 36 \times \frac{4}{6} \\ = \sqrt{5} \times \frac{(6 \times 6)}{20 \times 5 \times 2} \times 36 \times \frac{4}{6} \\ = \sqrt{5} \times \frac{36}{200} \times 36 \times \frac{4}{6} \\ = \sqrt{5} \times \frac{(36 \times 36 \times 4)}{200 \times 6} \\ = \sqrt{5} \times \frac{36 \times 3}{25} \\ = \sqrt{5} \times \frac{108}{25} \\ = \frac{108}{5} \sqrt{5} [/tex]