Question

The approximate value of

$5.63\times{5.63}+11.26\times{2.37}+2.37\times{2.37}$ is______

• A. 64
• B. 8
• C. 237
• D. 563

Answer 1

Answer:

A. 64

Calculation;

$5.63\times{5.63}+11.26\times{2.37}+2.37\times{2.37}$

11.26 can be written as $2\times{5.63}$

$(5.63)^2+2(5.63\times{2.37})+(2.37)^2$

Let here 5.63 ="a" and 2.37 = "b"

Above equation in the form of $a^2+2ab+b^2$ which is equal to $(a+b)^2$

$(5.63+2.37)^2$ = (8)² = 64.