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

$\sqrt{50}+ \sqrt{18}$

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