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Popular >

simplify sqrt(4500)

Solution

simplify

4500

Solution

305

+1

Solution steps

4500

Prime factorization of

4500 : 2^{2} \cdot 3^{2} \cdot 5^{3}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

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

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 3 \cdot 55

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= 305

Popular Examples

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3(5x+7)^2-24=-12

3 (5 x + 7)^{2} - 24 = - 12

4 a^{2} - 20 a + 25 = 0

factor 6x^2+37x+6 factor

6 x^{2} + 37 x + 6

-5|2+4x|=-32(x+3/4)-|x|+1

- 5 ∣ 2 + 4 x ∣ = - 32 (x + \frac{3}{4}) - ∣ x ∣ + 1

Frequently Asked Questions (FAQ)

What is sqrt(4500) ?
The solution to sqrt(4500) is 30sqrt(5)