Question

1) √0,16*4 2) √27*√3 3) √0,01*225*144 4) 3√(-17)²

Answer 1

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Answer 2

Let's simplify each expression step by step:

1. √0.16 * 4 First, calculate the square root of 0.16: √0.16 = 0.4

Now, multiply by 4: 0.4 * 4 = 1.6

Answer: 1.6

2. √27 * √3 Calculate the square roots separately: √27 ≈ 5.196 √3 ≈ 1.732

Now, multiply the square roots: 5.196 * 1.732 ≈ 8.989

Answer: 8.989

3. √0.01 * 225 * 144 First, calculate the square root of 0.01: √0.01 = 0.1

Now, multiply by 225 and then by 144: 0.1 * 225 * 144 = 0.1 * 32,400 = 3,240

Answer: 3,240

4. 3√((-17)²) First, calculate the square of -17: (-17)² = 289

Now, calculate the cube root of 289: 3√289 = 3√(17 * 17) = 3√17 ≈ 2.571

Answer: 2.571

Note: The cube root of a negative number is possible, so there's no issue with calculating 3√((-17)²).