Question

(✓13-3✓10)*(✓13+3✓10)

Answer 1

=(корень квадратный из 13)²-(3 корня из 10)²=13-9×10=-77

Answer 2

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

Step 1: Simplify the first term, ✓13-3✓10:

• We can't simplify ✓13 any further because it is already in its simplest radical form.
• To simplify 3✓10, we can calculate the square root of 10, which is approximately 3.162.
• Therefore, 3✓10 ≈ 3 * 3.162 ≈ 9.487.

The first term becomes: ✓13 - 9.487.

Step 2: Simplify the second term, ✓13+3✓10:

• Again, ✓13 is already in its simplest radical form.
• 3✓10 ≈ 3 * 3.162 ≈ 9.487.

The second term becomes: ✓13 + 9.487.

Step 3: Multiply the two terms together: (✓13 - 9.487) * (✓13 + 9.487).

To simplify further, we can use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b). In this case, a = ✓13 and b = 9.487.

Applying the difference of squares formula: (✓13 - 9.487) * (✓13 + 9.487) = (✓13)^2 - (9.487)^2.

Now, let's calculate the values: ✓13^2 = 13. (9.487)^2 ≈ 89.914.

The expression simplifies to: 13 - 89.914 = -76.914.

Therefore, (✓13-3✓10)*(✓13+3✓10) simplifies to approximately -76.914.