Question

Under root A square plus b square= a plus b

Answer 1

Step-by-step explanation:

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Answer 2

Answer:$a=0$ or $b=0$, $a,b\geq 0$

Remove the square root term with Isolation & Square method.

1. Isolation

$\sqrt{a^2+b^2} =a+b$

2. Square

$a^2+b^2=a^2+2ab+b^2$

→ $2ab=0$

→ $a=0$ or $b=0$

Root check

First when a=0

$\sqrt{b^2} =b$ → $|b|=b$ → true if a≥0

Second when b=0

$\sqrt{a^2} =a$ → $|a|=a$ → true if b≥0

Last when a=b=0

$\sqrt{0} =0$ → true

The solution is $a=0$ or $b=0$ (if $a,b\geq 0$)