Simplify ( square root of 98)(2 square root of 50)

Math
(98)(250)
Rewrite 98 as 72⋅2.
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Factor 49 out of 98.
49(2)(250)
Rewrite 49 as 72.
72⋅2(250)
72⋅2(250)
Pull terms out from under the radical.
72(250)
Rewrite 50 as 52⋅2.
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Factor 25 out of 50.
72(225(2))
Rewrite 25 as 52.
72(252⋅2)
72(252⋅2)
Pull terms out from under the radical.
72(2(52))
Multiply 5 by 2.
72(102)
Multiply 72(102).
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Multiply 10 by 7.
7022
Raise 2 to the power of 1.
70(212)
Raise 2 to the power of 1.
70(2121)
Use the power rule aman=am+n to combine exponents.
7021+1
Add 1 and 1.
7022
7022
Rewrite 22 as 2.
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Rewrite 2 as 212.
70(212)2
Apply the power rule and multiply exponents, (am)n=amn.
70⋅212⋅2
Combine 12 and 2.
70⋅222
Cancel the common factor of 2.
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Cancel the common factor.
70⋅222
Divide 1 by 1.
70⋅21
70⋅21
Evaluate the exponent.
70⋅2
70⋅2
Multiply 70 by 2.
140
Simplify ( square root of 98)(2 square root of 50)

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