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Popular >

simplify sqrt(1728)

Solution

simplify

1728

Solution

243

+1

Decimal Notation

41.56921 \dots

Solution steps

1728

Prime factorization of

1728 : 2^{6} \cdot 3^{3}

= 2^{6} \cdot 3^{3}

Apply exponent rule:

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

2^{6} \cdot 3^{3} = 2^{6} \cdot 3^{2} \cdot 3

= 2^{6} \cdot 3^{2} \cdot 3

2^{6} \cdot 3^{2} \cdot 3 = 2^{6} 3^{2} 3

= 2^{6} 3^{2} 3

2^{6} = 8

= 8 3^{2} 3

Apply radical rule:

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

3^{2} = 3

= 8 \cdot 33

Multiply the numbers:

8 \cdot 3 = 24

= 243

Popular Examples

- 5 x + 25 > 5 (x - 5)

simplify sqrt(4410)simplify

4410

2x<-8\land x-5<5

2 x < - 8 and x - 5 < 5

simplify (-x^2y^4)^3(x^3y^{-1})^2 simplify

(- x^{2} y^{4})^{3} (x^{3} y^{- 1})^{2}

5x-(x-18)=6-2(x+15)

5 x - (x - 18) = 6 - 2 (x + 15)

Frequently Asked Questions (FAQ)

What is sqrt(1728) ?
The solution to sqrt(1728) is 24sqrt(3)