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Maggie Maggie
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math

Simplify: 5√2 (6√14 + 4√450)
AlgebraHouse AlgebraHouse
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Re: math

5√2(6√14 + 4√450}
= 5√2(6√14 + 4√225 √2)   {broke down √450}
= 5√2(6√14 + 4(15)√2   {evaluated radicals}
= 5√2(6√14 + 60√2)   {multiplied}
= 30√28 + 300√2   {used distributive property}
= 30√4 √7  +  300√2   {broke down √28}
= 30(2)√7 + 300√2   {evaluated √4}
= 60√7 + 300√2   {multiplied}

- Algebra House