# Combine square root of 9/6+10

96+10
Simplify each term.
Cancel the common factor of 9 and 6.
Factor 3 out of 9.
3(3)6+10
Cancel the common factors.
Factor 3 out of 6.
3⋅33⋅2+10
Cancel the common factor.
3⋅33⋅2+10
Rewrite the expression.
32+10
32+10
32+10
Rewrite 32 as 32.
32+10
Multiply 32 by 22.
32⋅22+10
Combine and simplify the denominator.
Multiply 32 and 22.
3222+10
Raise 2 to the power of 1.
32212+10
Raise 2 to the power of 1.
322121+10
Use the power rule aman=am+n to combine exponents.
3221+1+10
3222+10
Rewrite 22 as 2.
Use axn=axn to rewrite 2 as 212.
32(212)2+10
Apply the power rule and multiply exponents, (am)n=amn.
32212⋅2+10
Combine 12 and 2.
32222+10
Cancel the common factor of 2.
Cancel the common factor.
32222+10
Divide 1 by 1.
3221+10
3221+10
Evaluate the exponent.
322+10
322+10
322+10
Simplify the numerator.
Combine using the product rule for radicals.
3⋅22+10
Multiply 3 by 2.
62+10
62+10
62+10
To write 10 as a fraction with a common denominator, multiply by 22.
62+10⋅22
Combine 10 and 22.
62+10⋅22
Simplify the expression.
Combine the numerators over the common denominator.
6+10⋅22
Multiply 10 by 2.
6+202
6+202
The result can be shown in multiple forms.
Exact Form:
6+202
Decimal Form:
11.22474487…
Combine square root of 9/6+10

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