Question

Упростить √50 − 2 √18

Answer 1

$\sqrt{50} - 2 \sqrt{18} = \sqrt{25 \times 2} - 2 \sqrt{9 \times 2} = \sqrt{25} \times \sqrt{2} - 2 \times \sqrt{9} \times \sqrt{2} = 5 \sqrt{2} - 2 \times 3 \sqrt{2} = 5 \sqrt{2} - 6 \sqrt{2} = - \sqrt{2}$

Answer 2

To simplify the expression √50 − 2√18, you can start by factoring the numbers inside the square roots:

√50 = √(25 × 2) = √25 × √2 = 5√2

√18 = √(9 × 2) = √9 × √2 = 3√2

Now, the expression becomes:

5√2 - 2(3√2)

Next, you can combine the terms with the same radical (√2 in this case):

5√2 - 6√2

Finally, just subtract the coefficients of the like terms:

(5 - 6)√2 = -√2

So, the simplified form of √50 − 2√18 is -√2.