√3675 × √2352
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Answered by
7
Given,
√3675 × √2352
The factors of the above numbers are,
3675 = 3 × 5² × 7²
2352 = 2⁴ × 3 × 7²
√3675 × √2352
= √(3 × 5² × 7²) × √(2⁴ × 3 × 7²)
performing the square root, we get,
= ( √3 × 5 × 7 ) × ( 2² × √3 × 7 )
= (√3 × √3) × 2² × 5 × 7²
= 3 × 2² × 5 × 7²
= 3 × 4 × 5 × 49
= 60 × 49
= 2940
∴ √3675 × √2352 = 2940
Answered by
0
Step-by-step explanation:
First take out the square root of √3675×√2352
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