If a ^* b=a^2+b^2, then the value of (4 ^* 5) ^* 3 is: - Vidyadip

MCQ

If $a ^* b=a^2+b^2$, then the value of $(4 ^* 5) ^* 3$ is:

A
$\left(4^2+5^2\right)+3^2$
B
$(4+5)^2+3^2$
✓
$41^2+3^2$
D
$(4+5+3)^2$

✓

Answer

Correct option: C.

$41^2+3^2$

Given $a^* b=a^2+b^2$
So, $4 ^* 5=4^2+5^2$
Now,
$(4 ^* 5) ^* 3=(4 ^* 5)^2+3^2$
$=\left(4^2+5^2\right)^2+3^2$
$=41^2+3^2$

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