Question

Multiply the surd 4/√3+√2-1​

Answer 1

To multiply the surd 4/√3+√2-1, we need to rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator. The simplified result is √3 + √2 + 1.

Step-by-step explanation:

To multiply the surd 4/√3+√2-1, we need to simplify it first. To do this, we need to rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator. The conjugate of √3+√2-1 is √3+√2+1. So, we have:

(4/√3+√2-1) * (√3+√2+1)/(√3+√2+1)

Expanding and simplifying the numerator and denominator, we get:

(4√3 + 4√2 + 4) / (3 + 2 - 1)

(4√3 + 4√2 + 4) / 4

simplifying further, we get:

√3 + √2 + 1