Question

Use the prime factor method to find the square root of 3.3489

Answer 1

Answer:

1.83

Step-by-step explanation:

to find square root of decimal numbers multiply and divide the number with 10^n where n is the number of decimal

here 3.3489 has 4 decimal

therefore multiply and divide with 10000

$\frac{33489}{10000} \\ \sqrt{ \frac{33489}{10000} } = \sqrt{ \frac{3 \times 3 \times 61 \times 61}{2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5} } \\ = \frac{3 \times 61}{100} \\ = \frac{183}{100} \\ = 1.83$

hope you get your answer

Answer 2

Step-by-step explanation:

Hope it is helpful to you