Which equations support the fact that rational numbers are closed under addition? Select each correct answer. 35√+5√=45√ 316−−√+316−−√=616−−√ 12+0.5=1 10−−√+(−10−−√)=0

Respuesta :

The answer is 316−−+316−−=616−−√ and  12+0.5=1 trust me i took the test i got 100% YW

Following are the solution to the given rational number:

Given:

[tex]\bold{\sqrt{35}+ \sqrt{5}=\sqrt{45}}\\\\\bold{3\sqrt{16}+3\sqrt{16}= 6\sqrt{16}}\\\\\bold{\sqrt{12}+0.5=1 }\\\\\bold{\sqrt{10}+(- \sqrt{10})=0}[/tex]

To find:

Solve the value.

Solution:

Solving the given choices:

For the first choice

[tex]\bold{\sqrt{35}+ \sqrt{5} \neq \sqrt{45}}\\\\[/tex] it is wrong.

For the second choice:

[tex]\bold{3\sqrt{16}+3\sqrt{16}= 6\sqrt{16}}\\\\[/tex] that is correct because it is rational numbers are closed under addition.

For the third choice:

[tex]\bold{\sqrt{12}+0.5=1 }\\\\[/tex] it is wrong.

For the fourth choice:

[tex]\bold{\sqrt{10}+(- \sqrt{10})=\sqrt{10}- \sqrt{10}=0}[/tex] solve value is correct but not rational numbers are closed under addition.

Therefore, the answer is "second choice".

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