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kkurt [141]
3 years ago
8

Simplify: (i) 5√7 x 3√14

Mathematics
2 answers:
boyakko [2]3 years ago
6 0

5√7 × 3√14 = 5 × 3√(7 × 14)

= 15√98

= 105√2

r-ruslan [8.4K]3 years ago
3 0

Answer:

105\sqrt{2}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Given

5\sqrt{7} × 3\sqrt{14}

= 5 × 3 × \sqrt{7(14)}

= 15 × \sqrt{98}

= 15 × \sqrt{49(2)}

= 15 × \sqrt{49} × \sqrt{2}

= 15 × 7 × \sqrt{2}

= 105\sqrt{2}

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Answer:

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Hope this helps!

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