Question

√3675 × √2352
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Answer 1

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

Answer 2

Step-by-step explanation:

First take out the square root of √3675×√2352