Question

Simplyfy 2√7×√8×5√3÷3√×√15×√42
Solve full answer if you know​

Answer 1

Step-by-step explanation:

Given: 2 root 7 × root 8 ×5 root 3 whole divided by 3 root 3 × root 15 ×root 42

To find: Simplify the above.

Solution:

Now we have given:

{ 2√7 x √8 x 5√3 } / { 3√3 x √15 x √42 }

Now we can write it as:

{ 2√7 x √2 x √2 x √2 x √5 x √5 x√3 } / { 3√3 x √3 x √5 x √7 x √3 x √2 }

Cancelling the similar terms from numerator and denominator such as √2, √3, √5 and √7, we get:

{ 2 x √2 x √2 x √5 }/ { 3√3 x √3 }

{2 x √5 } / 9

So the final simplification is:

2√5/9 = 0.4969