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Popular >

simplify 289^{1/2}

Solution

simplify

28 9^{\frac{1}{2}}

Solution

17

Solution steps

28 9^{\frac{1}{2}}

Factor the number:

289 = 1 7^{2}

= (1 7^{2})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 1 7^{2 \cdot \frac{1}{2}}

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

= 1 7^{1}

Apply exponent rule:

a^{1} = a

= 17

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Frequently Asked Questions (FAQ)

What is 289^{1/2} ?
The solution to 289^{1/2} is 17