en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(294^')

Solution

simplify

29 4^{^{'}}

Solution

(76)^{'}

Solution steps

29 4^{^{'}}

Apply radical rule:

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

= (29 4^{^{^{'}}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 29 4^{^{^{'}} \frac{1}{2}}

Simplify

^{'} \frac{1}{2} : \frac{^{'}}{2}

= 29 4^{\frac{^{'}}{2}}

Prime factorization of

294 : 2 \cdot 3 \cdot 7^{2}

= (7^{2} \cdot 2 \cdot 3)^{\frac{^{'}}{2}}

Apply radical rule:

= (2 \cdot 3 \cdot 7^{2})^{^{^{'}}}

Apply radical rule:

= (7^{2} 2 \cdot 3)^{^{^{'}}}

Apply radical rule:

7^{2} = 7

= (7 2 \cdot 3)^{^{^{'}}}

Refine

= (76)^{^{^{'}}}

Popular Examples

simplify 8(x+4)^7*(x-1)^7 simplify

8 (x + 4)^{7} \cdot (x - 1)^{7}

simplify (2mn)(3m^2n)simplify

(2 mn) (3 m^{2} n)

simplify (9rst^6u^6)(5rst^6u^7)simplify

(9 rs t^{6} u^{6}) (5 rs t^{6} u^{7})

simplify 3.43*10^{-8}simplify

3.43 \cdot 1 0^{- 8}

simplify 5e^{-(6^2)/2}simplify

5 e^{- \frac{6 ^{2}}{2}}

Frequently Asked Questions (FAQ)

What is sqrt(294^') ?
The solution to sqrt(294^') is (7sqrt(6))^'