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Which expression is equivalent to 3 square root of 50 times square root of 22

User Sonique
by
7.3k points

1 Answer

2 votes

Answer:

30
√(11)

Explanation:

Using the rule of radicals


√(a) ×
√(b)
√(ab)

Simplifying 3
√(50)

= 3(
√(25(2)) )

= 3(5
√(2) )

= 15
√(2)

Thus

3
√(50) ×
√(22)

= 15
√(2) ×
√(22)

= 15 ×
√(2(22))

= 15 ×
√(44)

= 15 ×
√(4(11))

= 15 × 2
√(11)

= 30
√(11)

User Calen
by
8.3k points

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