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Popular >

square root of 125/4

Solution

simplify

\frac{125}{4}

Solution

\frac{5 5}{4}

+1

Decimal

2.79508 \dots

Solution steps

\frac{125}{4}

Prime factorization of

125 : 5^{3}

= \frac{5 ^{3}}{4}

Apply exponent rule:

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

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

= \frac{5 ^{2} \cdot 5}{4}

Apply radical rule:

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

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

= \frac{5 ^{2} 5}{4}

Apply radical rule:

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

5^{2} = 5

= \frac{5 5}{4}

Popular Examples

Solve for x 7^x=4 solve for

x, 7^{x} = 4

Solve for x 7x>2 solve for

x, 7 x > 2

Solve for q 16q+2q-13q=15 solve for

q, 16 q + 2 q - 13 q = 15

Simplify 6/500 simplify

\frac{6}{500}

180/30

Frequently Asked Questions (FAQ)

What is simplify (sqrt(125))/4 ?
The solution to simplify (sqrt(125))/4 is (5sqrt(5))/4