Question

If 2p . 3q. 5r = 60 , which of the following is true ? Given p,q,r are natural numbers.

Answer 1

$Given \: 2^{p} \times 3^{q} \times 5^{r} = 60$

$Resolve \: 60 \: into \: product \: prime , we \:get$

2 | 60

______

2 | 30

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3 | 15

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**** 5

$60 = 2\times 2\times 3 \times 5 \\= 2^{2} \times 3^{1} \times 5^{1}$

$Now , \blue {2^{p} \times 3^{q} \times 5^{r} = 60}$

$\implies \pink { 2^{p} \times 3^{q} \times 5^{r} = 2^{2} \times 3^{1} \times 5^{1} }$

/* Compare bothsides of the equation , we get */

$p = 2 , q = 1 \: and \: r = 1$

Therefore.,

$\green { p = 2 , q = 1 \: and \: r = 1 }$

♪••.

Answer 2

Answer:

this is right

Step-by-step explanation:

thanks bro for your answer