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Popular >

simplify sqrt(375)

Solution

simplify

375

Solution

515

+1

Decimal Notation

19.36491 \dots

Solution steps

375

Prime factorization of

375 : 3 \cdot 5^{3}

= 3 \cdot 5^{3}

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

= 5^{2} 3 \cdot 5

Apply radical rule:

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

5^{2} = 5

= 5 3 \cdot 5

Multiply the numbers:

3 \cdot 5 = 15

= 515

Popular Examples

simplify e^{ln(sqrt(4))}simplify

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(m) (9 m - 3) = 0

simplify 1+((5^2)/(2!))-((5^3)/(3!))simplify

1 + (\frac{5 ^{2}}{2 !}) - (\frac{5 ^{3}}{3 !})

2 x^{2} + 12 x + 13 = 0

8 n + 6 = 11 n - 30

Frequently Asked Questions (FAQ)

What is sqrt(375) ?
The solution to sqrt(375) is 5sqrt(15)