Simplify- 22-2-3-1-17-2-3-1 is 78-3-5-mthe value of m is

We rationalize the denominators with the respective factors,We get, nbsp; nbsp; 22 / 2√( 3 ) +1 × 2√( 3 ) 1 / 2√( 3 ) 1 + 17 / 2√( 3 ) 1 × 2√( 3 ) +1 ...

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Byju's Answer

Standard IX

Mathematics

Geometrical Method to Find Square Root of a Number

Simplify: 22...

Question

Simplify:
$\frac{22}{2 \sqrt{3} + 1} + \frac{17}{2 \sqrt{3} - 1}$ is $\frac{78 \sqrt{3} - 5}{m}$

the value of $m$ is

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Solution

We rationalize the denominators with the respective factors,
We get, $\frac{22}{2 \sqrt{3} + 1} \times \frac{2 \sqrt{3} - 1}{2 \sqrt{3} - 1} + \frac{17}{2 \sqrt{3} - 1} \times \frac{2 \sqrt{3} + 1}{2 \sqrt{3} + 1}$
$= \frac{44 \sqrt{3} - 22 + 34 \sqrt{3} + 17}{4 \times 3 - 1}$
$= \frac{78 \sqrt{3} - 5}{11}$

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Similar questions

\frac{22}{2 \sqrt{3} + 1} + \frac{17}{2 \sqrt{3} - 1}

is equal to

\frac{78 \sqrt{3} - 5}{m}

then the value of m if m is rational number

Q. Simplify :

{(\frac{3}{5})}^{3} \times {(\frac{3}{5})}^{- 2} \times [(\frac{1}{2})^{2}]^{- 2} \times \frac{1}{24}

Q. Simplify

m (m^{3} - m^{2} + 1) - 2 (m^{4} - m^{3} - 1) + m^{2} (m^{2} - m + 2)

Q. Rationalise the denominator and simplify:

\frac{1}{2 \sqrt{5} - \sqrt{3}}

\frac{2 \sqrt{m} + \sqrt{3}}{17}

, then

m

is ?

Q. Simplify:

(1) (m + n)³ + (m − n)³
(2) (y − x)³ − (y + x)³
(3) (2 − p)³ + (2 + p)³
(4) (2a − 9)³ − (2a + 9)³
(5) (5a + 3c)³ − (5a − 3c)³

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Simplify:222√3+1+172√3−1 is 78√3−5mthe value of m is

We rationalize the denominators with the respective factors,We get, 222√3+1×2√3−12√3−1+172√3−1×2√3+12√3+1=44√3−22+34√3+174×3−1=78√3−511

Simplify:
$\frac{22}{2 \sqrt{3} + 1} + \frac{17}{2 \sqrt{3} - 1}$ is $\frac{78 \sqrt{3} - 5}{m}$

the value of $m$ is