ICSE Class 8 Answered
Can you solve my doubt in this photo
![question image](http://images.topperlearning.com/topper/new-ate/top_mob1591804453431457662cbcef354-5752-4d8b-bf62-41881affcee2.jpg)
Asked by pattanayakdhrutiprasanna | 10 Jun, 2020, 21:24: PM
To prove: sqrt{xp-q} x sqrt{xq-r} x sqrt{xr-p} = 1
![A s space w e space k n o w space t h a t space square root of a cross times square root of b equals square root of a b end root
rightwards double arrow square root of x to the power of p minus q end exponent end root space cross times space square root of x to the power of q minus r end exponent end root space cross times space square root of x to the power of r minus p end exponent end root space equals space square root of x to the power of p minus q end exponent space x to the power of q minus r end exponent space x to the power of r minus p end exponent end root space equals space square root of x to the power of p minus q plus q minus r plus r minus p end exponent end root space equals space square root of x to the power of 0 end root equals 1
H e n c e comma space square root of x to the power of p minus q end exponent end root space cross times space square root of x to the power of q minus r end exponent end root space cross times space square root of x to the power of r minus p end exponent end root space equals space 1](https://images.topperlearning.com/topper/tinymce/cache/2dc84341ba6364fee39f855d6c954852.png)
Answered by Renu Varma | 11 Jun, 2020, 10:56: AM
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