Question

Simplify 3√147-7/3✓1/3-1/√27

Answer 1

Here is your answer... if it is best then mark as brainly

Answer 2

The answer is

$\frac{181 \sqrt{3} }{9}$

GIVEN

Mathematical expression -

$3 \sqrt{147} - \frac{7}{3} \sqrt{ \frac{1}{3} } - \frac{1}{ \sqrt{27} }$

TO FIND

To simplify the above expression.

SOLUTION

We can simply solve the above problem as follows-

we can also write

$\sqrt{147} = \sqrt{7 \times 7 \times 3}$

or,

$\sqrt{147} = 7\sqrt{3}$

So,

$3 \sqrt{147} = 3 \times 7 \sqrt{147 } = 21\sqrt{3}$

Rewriting the original expression as-

$21 \sqrt{3} - \frac{7}{3} \times \frac{ \sqrt{1} }{ \sqrt{3} } - \frac{1}{ \sqrt{27} }$

multiplying √3 in both denominator and numerator in the fraction √1/√3

$21 \sqrt{3} - \frac{7}{3} \times \frac{ \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } - \frac{1}{ \sqrt{27} }$

Solving the above expression -

$21 \sqrt{3} - \frac{7 \sqrt{3} }{3 \times 3} - \frac{1}{ \sqrt 27}$

We can write √27 as 3√3

$21 \sqrt{3} - \frac{7 \sqrt{3} }{3 \times 3} - \frac{1}{ 3\sqrt 3}$

multiplying √3 in both denominator and numerator in the fraction √1/3√3

$21 \sqrt{3} - \frac{7 \sqrt{3} }{3 \times 3} - \frac{ \sqrt{3} }{9}$

$Multiply \: 21 \sqrt{3} \: by \: \frac{3 \times 3}{3 \times 3}$

$21 \sqrt{3} \times \frac{3 \times 3}{3 \times 3} + \frac{ - 7 \sqrt{3} }{3 \times 3} - \frac{ \sqrt{3} }{9}$

$\frac{189 \sqrt{3} - 7 \sqrt{3} }{9} - \frac{ \sqrt{3} }{9}$

since the denominator is same,

$\frac{181 \sqrt{3} }{9}$

Hence, The answer is

$\frac{181 \sqrt{3} }{9}$

#spj2