Question

find the square root of 9801 in prime Factorization


plz I need it by full explanation​

Answer 1

Answer:

Square root of 9801 in prime factorization is

Step-by-step explanation:

Step-by-step explanation:

We are supposed to find the square root of 9801 by prime factorization

So,

3 | 9801

3 | 3267

3 | 1089

3 | 363

11 | 121

11 | 11

| 1

\begin{gathered}9801=3 \times 3 \times 3 \times 3 \times 11 \times 11 \\\sqrt{9801}=\sqrt{3 \times 3 \times 3 \times 3 \times 11 \times 11} \\\sqrt{9801}=3 \times 3 \times 11 \\\sqrt{9801}=99\end{gathered}

9801=3×3×3×3×11×11

9801

=

3×3×3×3×11×11

9801

=3 ×3×11

9801

=99

Hence the square root of 9801 is 99

#learn more :

Find square root of 8281 by prime factorisation

Answer 2

Prime factors are : 3×3×3×3×11×11.

i.e.:3⁴×11²

so, √(9801) =(3⁴)(11²)

√(9801) =(3²)(3²)(11²)

√(9801) = 3×3×11

√(9801) =99

Hope this answer is helpful for you