What is sqrt(220-30\sqrt{35)} ?

The solution to sqrt(220-30\sqrt{35)} is 5sqrt(7)-3sqrt(5)

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Popular >

simplify sqrt(220-30\sqrt{35)}

simplify

220 - 3035

57 - 35

Decimal Notation

6.52055 \dots

Solution steps

220 - 3035

= 175 - 3035 + 45

= 5 \cdot 35 - 3035 + 45

= (5)^{2} (35)^{2} - 3035 + (45)^{2}

45 = 35

= (5)^{2} (35)^{2} - 3035 + (35)^{2}

2535 \cdot 35 = 3035

= (535)^{2} - 2535 \cdot 35 + (35)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(535)^{2} - 2535 \cdot 35 + (35)^{2} = (535 - 35)^{2}

= (535 - 35)^{2}

Apply radical rule:

(535 - 35)^{2} = 535 - 35

= 535 - 35

535 = 57

= 57 - 35

\frac{1}{100} (x^{5} - 5 x^{4})

144 + 25 - 144 - 25

5^{3^{7^{0^{3^{4}}}}} + 2^{4^{1^{2^{5}}}}

\frac{n}{n ^{2}}

1 - e^{- 0.5}

What is sqrt(220-30\sqrt{35)} ?
The solution to sqrt(220-30\sqrt{35)} is 5sqrt(7)-3sqrt(5)