What is sqrt(28800) ?

The solution to sqrt(28800) is 120sqrt(2)

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simplify sqrt(28800)

simplify

28800

1202

Decimal

169.70562 \dots

Solution steps

28800

Prime factorization of

28800 : 2^{7} \cdot 3^{2} \cdot 5^{2}

= 2^{7} \cdot 3^{2} \cdot 5^{2}

Apply exponent rule:

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

2^{7} \cdot 3^{2} \cdot 5^{2} = 2^{6} \cdot 2 \cdot 3^{2} \cdot 5^{2}

= 2^{6} \cdot 2 \cdot 3^{2} \cdot 5^{2}

2^{6} \cdot 2 \cdot 3^{2} \cdot 5^{2} = 2^{6} 2 3^{2} 5^{2}

= 2^{6} 2 3^{2} 5^{2}

2^{6} = 8

= 82 3^{2} 5^{2}

Apply radical rule:

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

3^{2} = 3

= 82 \cdot 3 5^{2}

Apply radical rule:

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

5^{2} = 5

= 82 \cdot 3 \cdot 5

Multiply the numbers:

8 \cdot 3 \cdot 5 = 120

= 1202

(9.8) (16 + 16 + 8 + 77)

x^{4} x^{11}

\frac{3}{5} \times 15

2 \times 18

\frac{\frac{9 + 3 ^{2} \times 36}{2}}{9}