# Simplify 14/( square root of 2)

142
Multiply 142 by 22.
142⋅22
Combine and simplify the denominator.
Multiply 142 and 22.
14222
Raise 2 to the power of 1.
142212
Raise 2 to the power of 1.
1422121
Use the power rule aman=am+n to combine exponents.
14221+1
14222
Rewrite 22 as 2.
Use axn=axn to rewrite 2 as 212.
142(212)2
Apply the power rule and multiply exponents, (am)n=amn.
142212⋅2
Combine 12 and 2.
142222
Cancel the common factor of 2.
Cancel the common factor.
142222
Divide 1 by 1.
14221
14221
Evaluate the exponent.
1422
1422
1422
Cancel the common factor of 14 and 2.
Factor 2 out of 142.
2(72)2
Cancel the common factors.
Factor 2 out of 2.
2(72)2(1)
Cancel the common factor.
2(72)2⋅1
Rewrite the expression.
721
Divide 72 by 1.
72
72
72
The result can be shown in multiple forms.
Exact Form:
72
Decimal Form:
9.89949493…
Simplify 14/( square root of 2)

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