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Popular >

simplify 2^{1/2}*3^{1/2}

Solution

simplify

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

Solution

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

+1

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}}

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Frequently Asked Questions (FAQ)

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