Problem 754

Sir SagarMay 24, 2015May 24, 20150

Add. Simplify by collecting like radical terms if possible, assuming that all expression under redicals represent nonnegative numbers.

$\sqrt{605y-605}$ + $\sqrt{5y-5}$

Solution:-

$\sqrt{605y-605}$ + $\sqrt{5y+5}$

= $\sqrt{121(5y-5)$ + $\sqrt{5y+5}$

= $\sqrt(121)$ $\sqrt{5y-5}$ + $\sqrt{5y-5}$

=11 $\sqrt{5y-5}$ + $\sqrt{5y-5}$

= (11+1) $\sqrt{5y-5}$

=12 $\sqrt{5y-5}$

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