112

Rewrite 112 as 112.

112

Multiply 112 by 22.

112⋅22

Multiply 112 and 22.

11222

Raise 2 to the power of 1.

112212

Raise 2 to the power of 1.

1122121

Use the power rule aman=am+n to combine exponents.

11221+1

Add 1 and 1.

11222

Rewrite 22 as 2.

Use axn=axn to rewrite 2 as 212.

112(212)2

Apply the power rule and multiply exponents, (am)n=amn.

112212⋅2

Combine 12 and 2.

112222

Cancel the common factor of 2.

Cancel the common factor.

112222

Divide 1 by 1.

11221

11221

Evaluate the exponent.

1122

1122

1122

Combine using the product rule for radicals.

11⋅22

Multiply 11 by 2.

222

222

The result can be shown in multiple forms.

Exact Form:

222

Decimal Form:

2.34520787…

Divide square root of 11/2