Question

3) √[3^4 • 2^6] 4)√40 • √10 – √20/√5.

Answer 1

Пошаговое объяснение:

Решение на фото

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Answer 2

Let's simplify these expressions step by step:

3. √(3^4 * 2^6)

First, let's simplify the exponents: 3^4 = 3 * 3 * 3 * 3 = 81 2^6 = 2 * 2 * 2 * 2 * 2 * 2 = 64

Now, multiply the simplified values together: √(81 * 64)

Now, take the square root of the product: √(5184)

√5184 can be further simplified by finding the prime factors of 5184: 5184 = 2^6 * 3^2

Now, take the square root of each prime factor: √(2^6) * √(3^2)

Simplify each square root: 2^3 * 3

Calculate the values: 2^3 = 2 * 2 * 2 = 8 3 = 3

Now, multiply the results together: 8 * 3 = 24

So, √(3^4 * 2^6) = 24.

4. √40 * √10 - √20 / √5

Let's simplify this expression step by step:

√40 can be simplified as follows: √40 = √(4 * 10) = √4 * √10 = 2 * √10

√20 can also be simplified: √20 = √(4 * 5) = √4 * √5 = 2 * √5

Now, the expression becomes: (2 * √10) * √10 - (2 * √5) / √5

Multiply the terms inside the parentheses: 2 * √10 * √10 - 2 * √5 / √5

Now, simplify further: 2 * 10 - 2

Now, calculate the values: 20 - 2 = 18

So, √40 * √10 - √20 / √5 = 18.