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which statement is true about the sum square root of 50 square root of 18 ? (1 point) it is rational and equal to 2. it is rational and equal to 8. it is irrational and equal to 2 square root of 2. it is irrational and equal to 8 square root of 2.

Verified Answer :

altavistard

Which statement is true about the sum square root of 50 square root of 18? In symbols, this expression is:

√50 + √18

These two terms can be simplified, as shown below, and then combined:

√50 = 5√2 + 3√2 = √2(5+3) = 8√2.

This is irrational because √2 is irrational.


calculista

we have

\(\sqrt{50}+ \sqrt{18}\)

we know that

\(50=2*5^{2}\)

\(18=2*3^{2}\)

substitute

\(\sqrt{2*5^{2}}+ \sqrt{2*3^{2}}\)

Simplify

\(5\sqrt{2}+ 3\sqrt{2}\)

Combine like terms

\(5\sqrt{2}+ 3\sqrt{2}=8\sqrt{2}\)

therefore

the answer is the option

it is irrational and equal to 8 square root of 2

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