What is (7sqrt(140))/(8sqrt(7)) ?

The solution to (7sqrt(140))/(8sqrt(7)) is (7sqrt(5))/4

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simplify (7sqrt(140))/(8sqrt(7))

simplify

\frac{7 140}{8 7}

\frac{7 5}{4}

Decimal Notation

3.91311 \dots

Solution steps

\frac{7 140}{8 7}

Apply radical rule:

a = a a

7 = 77

= \frac{7 7 140}{8 7}

Cancel the common factor:

7

= \frac{7 140}{8}

Factor

140 : 235

= \frac{7 \cdot 2 35}{8}

Factor the number:

8 = 2^{3}

= \frac{7 \cdot 2 35}{2 ^{3}}

\frac{2}{2 ^{3}} = \frac{1}{2 ^{2}}

= \frac{7 35}{2 ^{2}}

\frac{7 35}{2 ^{2}} = \frac{7 5}{4}

= \frac{7 5}{4}

(x + y) \cdot (x - y)

2 \cdot (- 7)

(- 1 + i) (\frac{1}{2} + \frac{1}{2} i)

cos^{2} (x) - sin^{2} (x) cos^{2} (x)

\frac{12 w ^{7} z ^{2}}{4 w ^{9} z}

What is (7sqrt(140))/(8sqrt(7)) ?
The solution to (7sqrt(140))/(8sqrt(7)) is (7sqrt(5))/4