DofotheroU

2021-01-10

Rationalize the denominator.

$\frac{\sqrt{40}}{\sqrt{56}}$

Caren

Skilled2021-01-11Added 96 answers

Step 1

We write them under one radical. Then recue$\frac{40}{56}$ by 8.

$=\frac{\sqrt{40}}{\sqrt{56}}$

$=\sqrt{\frac{40}{56}}$

$=\sqrt{\frac{40\xf78}{56\xf78}}$

$=\sqrt{\frac{5}{7}}$

Step 2

Separate the radicals. And multiply numerator and denominator by$\sqrt{7}$

$\sqrt{\frac{5}{7}}$

$=\frac{\sqrt{5}}{\sqrt{7}}$

$=\frac{\sqrt{5}\times \sqrt{7}}{\sqrt{7}\times \sqrt{7}}$

$==\frac{\sqrt{35}}{7}$

Answer:$\frac{\sqrt{35}}{7}$

We write them under one radical. Then recue

Step 2

Separate the radicals. And multiply numerator and denominator by

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