Question

Find the square root of the following number
using prime factorisation:
(1) 36 (ii) 64
() 216​

Answer 1

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Answer 2

Answer:

1) 36

Decompose 36 into prime factors using synthetic division.

Prime factorisation is given above

√36 = √(2 ⋅ 2 ⋅ 3 ⋅ 3)

√36 = (2 ⋅ 3)

√36 = 6

----------------------

64=2×2

×

2×2

×

2×2

=2

2

×2

2

×2

2

64

=

2

2

×2

2

×2

2

=2×2×2=8

64

=8

___________________

The square root of 216 is approximately 14.69694 or 6√6 in radical form. The factors of 216 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54etc

it's square root cannot be found

Step-by-step explanation:

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