Question
If $${\text{ }}2*3 = \sqrt {13} $$ and 3 * 4 = 5, then the value of 5 * 12 is ?
Answer: Option D
$$\eqalign{
& {\text{Clearly, }}a*b = \sqrt {{a^2} + {b^2}} \cr
& \therefore 5*12 \cr
& = \sqrt {{5^2} + {{12}^2}} \cr
& = \sqrt {25 + 144} \cr
& = \sqrt {169} \cr
& = 13 \cr} $$
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$$\eqalign{
& {\text{Clearly, }}a*b = \sqrt {{a^2} + {b^2}} \cr
& \therefore 5*12 \cr
& = \sqrt {{5^2} + {{12}^2}} \cr
& = \sqrt {25 + 144} \cr
& = \sqrt {169} \cr
& = 13 \cr} $$
Was this answer helpful ?
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