Question

Simplify.

8200‾‾‾‾√−3162‾‾‾‾√

Answer 1

the question is supposed to be \begin{gathered}8 \sqrt 200 - 3\sqrt 162\\\end{gathered}8200−3162

i think the answer is 53√sqrt 2532

Answer 2

The simplified expression is 4√50 - √3162.

Step-by-step explanation:

We can simplify the expression by factoring perfect squares out of the radicals.

For the first term:

8200 = 2^3 * 5^2 * 41

The largest perfect square that divides 8200 is 4^2 = 16.

Therefore, we can rewrite the first term as √(16 * 5^2 * 41) = 4√5^2 * 41 = 4√50.

For the second term:

3162 is a prime number, meaning it doesn't have any perfect square factors.

Therefore, the second term already in its most simplified form: √3162.

Combining the simplified terms: 4√50 - √3162.

Therefore, the simplified expression is 4√50 - √3162.