What is sqrt(50a^2+75a^2*b) ?

The solution to sqrt(50a^2+75a^2*b) is 5asqrt(2+3b)

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simplify sqrt(50a^2+75a^2*b)

simplify

50 a^{2} + 75 a^{2} \cdot b

5 a 2 + 3 b

Solution steps

50 a^{2} + 75 a^{2} b

Factor out common term

25 a^{2} : 25 a^{2} (2 + 3 b)

= 25 a^{2} (2 + 3 b)

25 a^{2} (2 + 3 b) = 25 a^{2} 2 + 3 b

= 25 a^{2} 2 + 3 b

25 = 5

= 5 a^{2} 2 + 3 b

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

a^{2} = a

= 5 a 2 + 3 b

x^{4} y - x y^{4}

2 x^{9} + x^{9} + (- 2)

2 x^{3} - 2 x^{2} - 8 x

(3 x^{- 4})^{2}

(\frac{4}{5 x - 2})^{3}

What is sqrt(50a^2+75a^2*b) ?
The solution to sqrt(50a^2+75a^2*b) is 5asqrt(2+3b)