Question

Need to state yes or no
√4a^2=2a
√a^2+4equal to a+2

Answer 1

$\sqrt{4 a^{2} } = 2a$
$\sqrt{4} \sqrt{a^{2} } = 2a$
2 × a = 2a
therefore it is true
$\sqrt{ a^{2}+4 } =a+2$
$\sqrt{ a^{2}+ 2^{2} } =a+2$
$\sqrt{ a^{2}+ a^{2} } \neq a+2$
threfore it is false

Answer 2

Answer:

\sqrt{4 a^{2} } = 2a

4a

2

=2a

\sqrt{4} \sqrt{a^{2} } = 2a

4

a

2

=2a

2 × a = 2a

therefore it is true

\sqrt{ a^{2}+4 } =a+2

a

2

+4

=a+2

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

a

2

+2

2

=a+2

\sqrt{ a^{2}+ a^{2} } \neq a+2

a

2

+a

2



=a+2

threfore it is false