Question

√37\√7(√5+√12)-2√15=

Answer 1

Приблизительно 2,5, кажется

Answer 2

To simplify the given expression, let's follow these steps:

Step 1: Simplify the terms inside the parentheses. Step 2: Distribute the √37/√7 into the simplified terms. Step 3: Simplify further if possible.

Let's begin:

Step 1: Simplify the terms inside the parentheses. √5 + √12 can be simplified as follows: √5 is already in its simplest form, but √12 can be simplified as √(4 * 3) = √4 * √3 = 2√3.

So, the expression becomes: √37/√7 * (√5 + 2√3) - 2√15

Step 2: Distribute the √37/√7 into the simplified terms. To distribute, simply multiply √37/√7 with each term inside the parentheses: (√37/√7) * √5 + (√37/√7) * 2√3 - 2√15

Step 3: Simplify further if possible. √37/√7 is equal to √(37/7) = √(5.285714...) (approximately).

Now, the expression becomes: √(37/7) * √5 + 2 * √(37/7) * √3 - 2√15

We cannot simplify the radicals inside the square roots further, so the final simplified expression is: √(37/7) * √5 + 2 * √(37/7) * √3 - 2√15