Question

find the square roots of the following numbers by prime factorization method of 7056
​

Answer 1

ANSWER

7056 = 2²×2²×3²×7²

70562²×2²×3²×7²

=2×2×3×7

=84

mark brainlest

Answer 2

✿Given Question:-

Find the square roots of the following numbers by prime factorization method of 7056.

✿Required Answer:-

• See factorisation in the attachement.

↠Factors of 7056 are:-

$\hookrightarrow\tt{2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 7 \times 7}$

↠Lets combine them to squares.

$\hookrightarrow\tt{ {2}^{2} \times {2}^{2} \times {3}^{2} \times {7}^{2} }$

↠Lets take our the numbers.

$\hookrightarrow\tt{ {2 \times 2 \times 3 \times 7}}$

$\hookrightarrow\tt{84}$

↠So, the square root of 7056 is 84.