Question

square root of 6084 by prime factorisation

Answer 1

hey buddy .. , here is ur answer ...
6804 = 2×2×3×3×13×13
6084 = 2^2× 3^2 ×13^2
√6084 = 2*3*13
√6084 = 13*6 = 78
√6084 = 78
hope it helps
if it helped then plse mrk as brainliest ...

Answer 2

Answer:

Square root of 6084 is 78.

Step-by-step explanation:

Here given digit is 6084.

Here we want to find square root.

By prime factorisation,

$6084 = 2 \times 2 \times 3 \times 3 \times 13 \times 13 = {2}^{2} \times {3}^{2} \times {13}^{2}$

Now Square root of 6084

$= \sqrt{6084} \\ = \sqrt{ {2}^{2} \times {3}^{2} \times {13}^{2} } \\ = 2 \times 3 \times 13 \\ = 78$

Some important Square values upto 30,

${1}^{2} = 1 \\ {2}^{2} = 4 \\ {3}^{2} = 9 \\ {4}^{2} = 16 \\ {5}^{2} = 25 \\ {6}^{2} = 36 \\ {7}^{2} = 49 \\ {8}^{2} = 64 \\ {9}^{2} = 81 \\ {10}^{2} = 100 \\ {11}^{2} = 121 \\ {12}^{2} = 144 \\ {13}^{2} = 169 \\ {14}^{2} = 196 \\ {15}^{2} = 225 \\ {16}^{2} = 256 \\ {17}^{2} = 289 \\ {18}^{2} = 324 \\ {19}^{2} = 361 \\ {20}^{2} = 400 \\ {21}^{2} = 441 \\ {22}^{2} = 484 \\ {23}^{2} = 529 \\ {24}^{2} = 576 \\ {25}^{2} = 625 \\ {27}^{2} = 729 \\ {28}^{2} = 784 \\ {29}^{2} = 841 \\ {30}^{2} = 900$