Question

simplify 2 root 7 × root 8 ×5 root 3 whole divided by 3 root 3 × root 15 ×root 42
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Answer 1

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

Answer:

             So the simplified value of 2 root 7 × root 8 ×5 root 3 whole divided by 3 root 3 × root 15 ×root 42 is 2√5/9.