Question

(5√3-√7)*(√7+5√3)-√48​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To simplify the given expression, let's break it down step by step:

Expression: (5√3 - √7) * (√7 + 5√3) - √48

Step 1: Multiply the two binomials using the distributive property (FOIL method): (5√3 - √7) * (√7 + 5√3) = 5√3 * √7 + 5√3 * 5√3 - √7 * √7 - √7 * 5√3 = 5√21 + 25 * 3 - 7 - 5√21 = 15√21 + 75 - 7 - 5√21 = 68 - 5√21

Step 2: Substitute the result from Step 1 back into the original expression: (68 - 5√21) - √48

Step 3: Simplify the square root terms: √48 = √(16 * 3) = √16 * √3 = 4√3

Substitute this back into the expression: (68 - 5√21) - 4√3

Step 4: Combine the constant terms and the square root terms: 68 - 4√3 - 5√21

So, the simplified form of the expression is 68 - 4√3 - 5√21.