Question

A = 2.(1+2+3.....224)+225​

Answer 1

Step-by-step explanation:

$\bf a=2\cdot (1+2+3....224)+225$

$\bf a=2\cdot \big[(1+224)\cdot 224 : 2\big]+225$

$\bf a=2\cdot \big(225\cdot 224 : 2\big)+225$

$\bf a=2\cdot \big(225\cdot 112\big)+225$

$\bf a=2\cdot 25200+225$

$\bf a=50400+225$

$\bf a=50625$

$\red{\boxed{\bf a=225^{2} \implies ~patrat ~perfect}}$

$\bf \sqrt{a}=\sqrt{225^{2}} \implies \purple{\boxed{\bf a = 225}}$