Question

√9+16=√9+√16 howdid they are equal

Answer 1

√9+16 ≠ √9+√16

√9+16 = √25 = 5

while
√9+√16 = 3+4 = 7
here LHS ≠ RHS

Answer 2

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So,
Hello Guys,
As we know about Square root.
Our question is
$\sqrt{9 + 16} = \: \sqrt{9} + \sqrt{16}$

Then,
Answer is
$\sqrt{9 + 16} = \sqrt{9} + \sqrt{16} \\ we \: write \: \sqrt{9} \: as \: {9}^{ \frac{1}{2} } . \\ \sqrt{9 + 16} = {9}^{ \frac{1}{2} } + {16}^{ \frac{1}{2} } \\ \sqrt{9 + 16} = {( 16+9)}^{ \frac{1}{2} } \\ so \\ we \: write \: it \: as \: \sqrt{16 + 9}$
So,
It is equal.





HOPE IT'S HELPS!!!!!