# Add 1/2 square root of 2+1/3 square root of 2 122+132
Simplify each term.
Combine 12 and 2.
22+13⋅2
Combine 13 and 2.
22+23
22+23
To write 22 as a fraction with a common denominator, multiply by 33.
22⋅33+23
To write 23 as a fraction with a common denominator, multiply by 22.
22⋅33+23⋅22
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply 22 and 33.
2⋅32⋅3+23⋅22
Multiply 2 by 3.
2⋅36+23⋅22
Multiply 23 and 22.
2⋅36+2⋅23⋅2
Multiply 3 by 2.
2⋅36+2⋅26
2⋅36+2⋅26
Combine the numerators over the common denominator.
2⋅3+2⋅26
Simplify the numerator.
Move 3 to the left of 2.
3⋅2+2⋅26
Move 2 to the left of 2.
32+2⋅26
Add 32 and 22.
526
526
The result can be shown in multiple forms.
Exact Form:
526
Decimal Form:
1.17851130…
Add 1/2 square root of 2+1/3 square root of 2

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