Question

1. simplify: $2sqrt{7} cdot 3sqrt{5}$

Explanation:

Step1: Separate coefficients and radicals

$(2 \cdot 3) \cdot (\sqrt{7} \cdot \sqrt{5})$

Step2: Multiply the coefficients

$2 \cdot 3 = 6$

Step3: Multiply the radicals

$\sqrt{7} \cdot \sqrt{5} = \sqrt{7 \cdot 5} = \sqrt{35}$

Step4: Combine results

$6 \cdot \sqrt{35}$

Answer:

$6\sqrt{35}$