Question

- Simplify root7 . root 8​

Answer 1

Answer:

root 56

Step-by-step explanation:

root 7 *8

=56

2 tooth 14

Answer 2

The simplified form of √7 x√8 is 2√14.

Given:

√7 x √8.

To Find:

The simplified form of √7 x√8.

Solution:

We are given the product two irrational numbers: √7 x√8.

Irrational numbers are those that cannot be expressed in the form of a ratio or a fraction.

To solve this problem, we will use the given concept:

If 'p' and 'q' are any two numbers, then:

√p x √q = √(pq).

We are asked to find the simplified form of √7 x √8.

Now, the irrational number √8 can be further simplified into:

√8 = √( 2 x 2 x 2) = 2√2.

So, the required product becomes:

√7 x √8 = √7 x 2√2 = 2 x ( √7 x √2) = 2√14.

Hence, the correct answer is 2√14.

The simplified form of √7 x√8 is 2√14.

#SPJ2.