What is 2^{1/2}\times 3^{1/2} ?

The solution to 2^{1/2}\times 3^{1/2} is 6^{1/2}

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simplify 2^{1/2}\times 3^{1/2}

simplify

2^{\frac{1}{2}} \cdot 3^{\frac{1}{2}}

6^{\frac{1}{2}}

Decimal Notation

2.44948 \dots

Solution steps

2^{\frac{1}{2}} \cdot 3^{\frac{1}{2}}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

2^{\frac{1}{2}} \cdot 3^{\frac{1}{2}} = (2 \cdot 3)^{\frac{1}{2}}

= (2 \cdot 3)^{\frac{1}{2}}

Multiply the numbers:

2 \cdot 3 = 6

= 6^{\frac{1}{2}}

e^{3 x} \times e^{- 4 x}

e^{6 x} e^{x}

e^{- \frac{6000}{5000}}

e^{- 2 (\frac{1}{2})}

What is 2^{1/2}\times 3^{1/2} ?
The solution to 2^{1/2}\times 3^{1/2} is 6^{1/2}