Simplify 2 square root of 50+3 square root of 98

Math
250+398
Simplify each term.
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Rewrite 50 as 52⋅2.
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Factor 25 out of 50.
225(2)+398
Rewrite 25 as 52.
252⋅2+398
252⋅2+398
Pull terms out from under the radical.
2(52)+398
Multiply 5 by 2.
102+398
Rewrite 98 as 72⋅2.
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Factor 49 out of 98.
102+349(2)
Rewrite 49 as 72.
102+372⋅2
102+372⋅2
Pull terms out from under the radical.
102+3(72)
Multiply 7 by 3.
102+212
102+212
Add 102 and 212.
312
The result can be shown in multiple forms.
Exact Form:
312
Decimal Form:
43.84062043…
Simplify 2 square root of 50+3 square root of 98

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