Question

(6√4-√13)(√13+5√4)-√52​

Answer 1

Ответ:

$(6 \times 2 - \sqrt{13} )( \sqrt{13} + 5 \times 2) \\ - \sqrt{52} = \\ (12 - \sqrt{13} )( \sqrt{13} + 10) - \sqrt{52} =$

$= 12 \sqrt{13} + 120 - 13 - 10 \sqrt{13 } \\ - \sqrt{52} = 2 \sqrt{13} + 107 - \sqrt{13 \times 4} \\ = 2 \sqrt{13} + 107 - 2 \sqrt{13} = 107$

Ответ:107

Answer 2

Let's simplify the given expression step by step:

Step 1: Simplify the expression within the first set of parentheses. 6√4 - √13 = 6(2) - √13 = 12 - √13.

Step 2: Simplify the expression within the second set of parentheses. √13 + 5√4 = √13 + 5(2) = √13 + 10.

Step 3: Multiply the two simplified expressions from steps 1 and 2. (12 - √13)(√13 + 10) = 12√13 + 120 - √13√13 - 10√13.

Step 4: Simplify the square root terms. √13√13 = √(13 × 13) = √169 = 13.

Step 5: Combine like terms. 12√13 + 120 - 13 - 10√13 = 2√13 + 107 - 10√13.

Step 6: Simplify further by combining like terms. 2√13 - 10√13 = -8√13.

Step 7: Subtract √52 from the previous result. -8√13 - √52.

At this point, we can't simplify the expression any further without knowing the value of √52. If you have the value of √52, please provide it, and I can continue the simplification process.