Can you solve my doubt in this photo

Asked by pattanayakdhrutiprasanna | 10th Jun, 2020, 09:24: PM

Expert Answer:

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

Answered by Renu Varma | 11th Jun, 2020, 10:56: AM