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Popular >

simplify 5sqrt(90)

Solution

simplify

590

Solution

1510

+1

Decimal Notation

47.43416 \dots

Solution steps

590

Prime factorization of

90 : 2 \cdot 3^{2} \cdot 5

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

Apply radical rule:

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

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

= 5 3^{2} 2 \cdot 5

Apply radical rule:

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

3^{2} = 3

= 5 \cdot 3 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 5 \cdot 310

Multiply the numbers:

5 \cdot 3 = 15

= 1510

Popular Examples

simplify (18xy^6)/(12x^3y^5)simplify

\frac{18 x y ^{6}}{12 x ^{3} y ^{5}}

18 a^{2} = 8

simplify (-20+16i)/(1-9i)simplify

\frac{- 20 + 16 i}{1 - 9 i}

simplify 6/7 8/9 simplify

\frac{6}{7} \frac{8}{9}

factor 2x^2y+10xy+12y factor

2 x^{2} y + 10 x y + 12 y

Frequently Asked Questions (FAQ)

What is 5sqrt(90) ?
The solution to 5sqrt(90) is 15sqrt(10)