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Popular >

simplify 24^{1/2}

Solution

simplify

2 4^{\frac{1}{2}}

Solution

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

+1

Decimal Notation

4.89897 \dots

Solution steps

2 4^{\frac{1}{2}}

Prime factorization of

24 : 2^{3} \cdot 3

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{3} \cdot 3 = 2^{2} \cdot 2 \cdot 3

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

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

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

Multiply the numbers:

2 \cdot 3 = 6

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

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Frequently Asked Questions (FAQ)

What is 24^{1/2} ?
The solution to 24^{1/2} is 2*6^{1/2}