Question

simplify
$\frac{ \sqrt{18} }{5 \sqrt{18} ? + 3 \sqrt{72} - 2 \sqrt{162} }$
plz​

Answer 1

Answer : 0.2

Step by step explanation :

$\frac{ \sqrt{18} }{5 \sqrt{18} + 3 \sqrt{72} - 2 \sqrt{162} }$

Simplify the three roots in the denominator.

Find out the perfect square.

Use the principle - the root of a product is equal to the product of the roots of each factor.

Reduce the index of the radical and exponent with 2.

Calculate the product.

$= > \frac{ \sqrt{18} }{15 \sqrt{2} + 18\sqrt{2} - 18 \sqrt{2} }$

Eliminate the opposites

$= > \frac{ \sqrt{18} }{15 \sqrt{2} }$

Simplify the expression. Write the expression √18 as a product with the factor √2.

$= > \frac{ \sqrt{2} \sqrt{9} }{15 \sqrt{2} }$

Reduce the fraction with √2

$= > \frac{ \sqrt{9} }{15}$

Calculate the square root. Write the number 9 in exponential form with a base of 3.

$= > \frac{ \sqrt{3 {}^{2} } }{15}$

Reduce the index of the radical and exponent with 2

$= > \frac{3}{15}$

Reduce the fraction with 3

$= > \frac{1}{5}$

$= > 0.2$

$= > 5 {}^{ - 1}$

Answer 2

Answer:

0.2 or 5^-1

Step-by-step explanation:

Kindly ,Refer answer in attachment ^_^