Question

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.

Answer 1

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.

Answer 2

we have

`√(50)+ √(18)`

we know that

`50=2*5^(2)`

`18=2*3^(2)`

substitute

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

Simplify

`5√(2)+ 3√(2)`

Combine like terms

`5√(2)+ 3√(2)=8√(2)`

therefore

the answer is the option

it is irrational and equal to 8 square root of 2