Math, asked by royalshivam04826, 10 months ago

using prime factrozation ,find the square root of 7056​

Answers

Answered by BrainlyTornado
5

Answer:

84

Step-by-step explanation:

7056 \div 2 = 3528 \\ 3528 \div 2 = 1764 \\ 1764 \div 2 = 882 \\ 882 \div  \: 2 = 441 \\ 441 \div 3 = 147 \\ 147 \div 3 = 49 \\ 49 \div 7 = 7 \\ 7 \div 7 = 1

 \sqrt{7056}  =  \sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 7 \times 7}   \\  =  \sqrt{4 \times 4 \times 9 \times 49}   \\ = 2 \times 2 \times 3 \times 7 = 84

Answered by nisha382
4

Answer:

Hey mate !❤️

7056=2×2×2×2×3×3×7×7

=2^2×2^2×3^2×7^2

=(2×2×3×7)^2

•°•√7056=2×2×3×7

=84

HOPE THIS HELP YOU

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