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Popular >

simplify sqrt(72)

Solution

simplify

72

Solution

62

+1

Solution steps

72

Prime factorization of

72 : 2^{3} \cdot 3^{2}

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

Apply exponent rule:

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

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

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

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

= 2^{2} 2 3^{2}

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 22 3^{2}

Apply radical rule:

a^{2} = a, a \geq 0

3^{2} = 3

= 22 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 62

Popular Examples

simplify (18)/(sqrt(2))simplify

\frac{18}{2}

simplify pi/6-pi/3 simplify

\frac{π}{6} - \frac{π}{3}

-58x-26=8x-230.6

- 58 x - 26 = 8 x - 230.6

7x+5-1/2+4x-2=x-3/4-5x-1/4+6

7 x + 5 - \frac{1}{2} + 4 x - 2 = x - \frac{3}{4} - 5 x - \frac{1}{4} + 6

(x-4)/(x-5)<= 0

\frac{x - 4}{x - 5} \leq 0

Frequently Asked Questions (FAQ)

What is sqrt(72) ?
The solution to sqrt(72) is 6sqrt(2)