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Popular >

simplify sqrt(750)

Solution

simplify

750

Solution

530

+1

Decimal Notation

27.38612 \dots

Solution steps

750

Prime factorization of

750 : 2 \cdot 3 \cdot 5^{3}

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

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

5^{2} = 5

= 5 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= 530

Popular Examples

simplify (a/b)/((\frac{c/d){e/f})}simplify

\frac{\frac{a}{b}}{( \frac{\frac{c}{d}}{\frac{e}{f}} )}

simplify (5pi)/3*3.9 simplify

\frac{5 π}{3} \cdot 3.9

factor 3x+18 factor

3 x + 18

2 - 6 x + 5 = 23

6 z \leq 7 z - 9

Frequently Asked Questions (FAQ)

What is sqrt(750) ?
The solution to sqrt(750) is 5sqrt(30)