Question

Square root of (p²-2pq+q²) is
(a) p+q
(b) p-q
(c) (p-q)²
(d) (p+q)²​

Answer 1

it is in form (a-b)^2=a^2+b^2-2ab

so the answer is root over of (p-q)^2

so answer is p-q

option (b) is correct

Answer 2

Square root of p²-2pq+q²​ is  p - q  

Given :  p²-2pq+q²​

To Find : square root of p²-2pq+q²​

Solution:

p²-2pq+q²​

Using identity

(x - y)² = x²  - 2xy + y²

x = p

y = q

= (p - q)²

square root of p²-2pq+q²​

= √(p - q)²

√a² = | a |        ( | a | = a  if  a ≥ 0 ,  - a if a < 0 )

= | p - q |

square root of p²-2pq+q²​   = | p - q |

= p - q  if p ≥ q

= q - p  if p < q

From the given options  p - q  is correct

correct option is  b .

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