Simplify 8 square root of 50+3 square root of 32

Math
850+332
Simplify each term.
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Rewrite 50 as 52⋅2.
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Factor 25 out of 50.
825(2)+332
Rewrite 25 as 52.
852⋅2+332
852⋅2+332
Pull terms out from under the radical.
8(52)+332
Multiply 5 by 8.
402+332
Rewrite 32 as 42⋅2.
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Factor 16 out of 32.
402+316(2)
Rewrite 16 as 42.
402+342⋅2
402+342⋅2
Pull terms out from under the radical.
402+3(42)
Multiply 4 by 3.
402+122
402+122
Add 402 and 122.
522
The result can be shown in multiple forms.
Exact Form:
522
Decimal Form:
73.53910524…
Simplify 8 square root of 50+3 square root of 32

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