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1
2 root p=24
==>root p =12
2root q=8
==>root q=4
==>p/q=9 answer
==>root p =12
2root q=8
==>root q=4
==>p/q=9 answer
Answered by
7
Hey!!
Here is your answer,,
![\sqrt{p} + \sqrt{q} = 16 .......(1)\\ \sqrt{p} - \sqrt{q} = 8 .........(2)\\ \\ \\ by \: adding \: both \: eq \: we \: get \\ \\ 2 \sqrt{p} = 24 \\ \\ \sqrt{p} = \frac{24}{2} \\ \\ \sqrt{p} = 12 \\ \\ p = {(12)}^{2} \\ \\ p = 144 \\ \\ \\ put \: value \: of \: (p) \: in \: eq.(1) \\ \\ \sqrt{144} + \sqrt{q} = 16 \\ \\ 12 + \sqrt{q} = 16 \\ \\ \sqrt{q} = 16 - 12 \\ \\ \sqrt{q} = 4 \\ \\ q = {(2)}^{2} \\ \\ q = 4 \\ \\ \\ \frac{p}{q} = \frac{144}{4} \\ \\ = 36 \\ \\ \\ \\ hope \: it \: helps \\ \\ \\ thanks \sqrt{p} + \sqrt{q} = 16 .......(1)\\ \sqrt{p} - \sqrt{q} = 8 .........(2)\\ \\ \\ by \: adding \: both \: eq \: we \: get \\ \\ 2 \sqrt{p} = 24 \\ \\ \sqrt{p} = \frac{24}{2} \\ \\ \sqrt{p} = 12 \\ \\ p = {(12)}^{2} \\ \\ p = 144 \\ \\ \\ put \: value \: of \: (p) \: in \: eq.(1) \\ \\ \sqrt{144} + \sqrt{q} = 16 \\ \\ 12 + \sqrt{q} = 16 \\ \\ \sqrt{q} = 16 - 12 \\ \\ \sqrt{q} = 4 \\ \\ q = {(2)}^{2} \\ \\ q = 4 \\ \\ \\ \frac{p}{q} = \frac{144}{4} \\ \\ = 36 \\ \\ \\ \\ hope \: it \: helps \\ \\ \\ thanks](https://tex.z-dn.net/?f=+%5Csqrt%7Bp%7D++%2B++%5Csqrt%7Bq%7D++%3D+16+.......%281%29%5C%5C++%5Csqrt%7Bp%7D++-++%5Csqrt%7Bq%7D++%3D+8+.........%282%29%5C%5C++%5C%5C++%5C%5C+by+%5C%3A+adding+%5C%3A+both+%5C%3A+eq+%5C%3A+we+%5C%3A+get+%5C%5C++%5C%5C+2+%5Csqrt%7Bp%7D++%3D+24+%5C%5C++%5C%5C++%5Csqrt%7Bp%7D++%3D++%5Cfrac%7B24%7D%7B2%7D++%5C%5C++%5C%5C++%5Csqrt%7Bp%7D++%3D+12+%5C%5C++%5C%5C+p+%3D+%7B%2812%29%7D%5E%7B2%7D++%5C%5C++%5C%5C+p+%3D+144+%5C%5C++%5C%5C++%5C%5C+put+%5C%3A+value+%5C%3A+of+%5C%3A+%28p%29+%5C%3A+in+%5C%3A+eq.%281%29+%5C%5C++%5C%5C+++%5Csqrt%7B144%7D++%2B++%5Csqrt%7Bq%7D++%3D+16+%5C%5C++%5C%5C+12+%2B++%5Csqrt%7Bq%7D++%3D+16+%5C%5C++%5C%5C++%5Csqrt%7Bq%7D++%3D+16+-+12+%5C%5C++%5C%5C++%5Csqrt%7Bq%7D++%3D+4+%5C%5C++%5C%5C+q+%3D++%7B%282%29%7D%5E%7B2%7D++%5C%5C++%5C%5C+q+%3D+4+%5C%5C++%5C%5C++%5C%5C++%5Cfrac%7Bp%7D%7Bq%7D++%3D++%5Cfrac%7B144%7D%7B4%7D++%5C%5C++%5C%5C++%3D+36+%5C%5C++%5C%5C++%5C%5C++%5C%5C+hope+%5C%3A+it+%5C%3A+helps+%5C%5C++%5C%5C++%5C%5C+thanks)
:))
Here is your answer,,
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