[multiplying radicals][section 60]
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(1.) √2 * √7 here is the problem
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= √14 multiply
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(2.) √3 * √6 here is the problem
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= √18 multiply
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= √9√2 factor like this
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= 3√2 take square root of the 9
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(3.) √5 * √10 here is the problem
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= √50 multiply
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= √25 * √2 factor like this
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= 5√2 take square root of the 25
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(4.) √9 * √4 here is the problem

= 3 * 2 take square roots

= 6 multiply
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(5.) 2√3 * √2 here is the problem
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= 2√6 multiply
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(6.) -7√12 * 4√3 here is the problem
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= -28√36 multiply

= -28(6) take square root of the 36

= -168 multiply
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(7.) -8√6 * -3√7 here is the problem
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= 24√42 multiply
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(8.) √6m⁴ * √3mn² here is the problem
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= √18m⁵n² here is the problem
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= √9m⁴n² * √2m factor like this
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= 3m²n√2m take square root
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(9.) \³/4 * \³/2 here is the problem
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= \³/8 multiply

= 2 take the cube root of 8
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(10.) -3a√ab * 2a√ab here is the problem

= -6a²(ab) multiply

= -6a³b multiply