Keerthana
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If 6×15=x10sqrt{6} imes sqrt{15}=x sqrt{10}, then the value of xx is

a

3

b

6

c

3

d

± 3

Answer : Option A C
Explanation :

6×15=x10sqrt{6} imes sqrt{15}=x sqrt{10}

2×3×3×5=x10Rightarrow sqrt{2 imes 3} imes sqrt{3 imes 5}=x sqrt{10}

2×5×3=x10Rightarrow sqrt{2} imes sqrt{5} imes 3=x sqrt{10}

310=x10Rightarrow 3 sqrt{10}=x sqrt{10}

x=3Rightarrow x=3

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