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Popular >

simplify sqrt(416)

Solution

simplify

416

Solution

426

+1

Solution steps

416

Prime factorization of

416 : 2^{5} \cdot 13

= 2^{5} \cdot 13

Apply exponent rule:

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

2^{5} \cdot 13 = 2^{4} \cdot 2 \cdot 13

= 2^{4} \cdot 2 \cdot 13

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{4} \cdot 2 \cdot 13 = 2^{4} 2 \cdot 13

= 2^{4} 2 \cdot 13

2^{4} = 4

= 4 2 \cdot 13

Multiply the numbers:

2 \cdot 13 = 26

= 426

Popular Examples

factor 36x^2-96x+64 factor

36 x^{2} - 96 x + 64

(x-8)/5 =(x+4)/9

\frac{x - 8}{5} = \frac{x + 4}{9}

2 < \frac{1}{3} - 2 x < 5

simplify \sqrt[6]{121}simplify

300x^2+9x-(0.35*9)=0

300 x^{2} + 9 x - (0.35 \cdot 9) = 0

Frequently Asked Questions (FAQ)

What is sqrt(416) ?
The solution to sqrt(416) is 4sqrt(26)