Question

Find the following product by using suitable identity

$\frac{4.73\times 4.73-2.23\times 2.23}{4.73+2.23}$

• A. $2.5$
• B. $1.5$
• C. $3.5$
• D. $4.5$

Answer 1

Answer: (A)

$2.5$

$\frac{4.73\times 4.73-2.23\times 2.23}{4.73+2.23}$
$=\frac{(4.73{)}^2-(2.23{)}^2}{4.73+2.23}$
Using,$(a^2-b^2)=(a-b)(a+b)$
$=\frac{(4.73-2.23)(4.73+2.23)}{4.73+2.23}$
$=2.5$