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Popular >

simplify 5sqrt(198)

Solution

simplify

5198

Solution

1522

+1

Decimal

70.35623 \dots

Solution steps

5198

Prime factorization of

198 : 2 \cdot 3^{2} \cdot 11

= 5 2 \cdot 3^{2} \cdot 11

Apply radical rule:

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

2 \cdot 3^{2} \cdot 11 = 3^{2} 2 \cdot 11

= 5 3^{2} 2 \cdot 11

Apply radical rule:

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

3^{2} = 3

= 5 \cdot 3 2 \cdot 11

Multiply the numbers:

2 \cdot 11 = 22

= 5 \cdot 322

Multiply the numbers:

5 \cdot 3 = 15

= 1522

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Frequently Asked Questions (FAQ)

What is 5sqrt(198) ?
The solution to 5sqrt(198) is 15sqrt(22)